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Finding the Fourth Proportional to 7,776,802.10, 11,644,791.15 and 5,489,977.70

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Solution

The fourth proportional to 7,776,802.10, 11,644,791.15 and 5,489,977.70 is: 8,220,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776,802.10 : 11,644,791.15 = 5,489,977.70 : x
  2. Step 2: Convert to fraction form
    7,776,802.10/11,644,791.15 = 5,489,977.70/x
  3. Step 3: Cross multiply
    7,776,802.10x = 11,644,791.15 × 5,489,977.70
  4. Step 4: Simplify right side
    7,776,802.10x = 63,929,643,734,657.36
  5. Step 5: Solve for x
    x = 63,929,643,734,657.36/7,776,802.10
  6. Step 6: Final answer
    x = 8,220,556.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.