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Finding the Fourth Proportional to 8,277.66, 11,420.39 and 5,620.46

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Solution

The fourth proportional to 8,277.66, 11,420.39 and 5,620.46 is: 7,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.66 : 11,420.39 = 5,620.46 : x
  2. Step 2: Convert to fraction form
    8,277.66/11,420.39 = 5,620.46/x
  3. Step 3: Cross multiply
    8,277.66x = 11,420.39 × 5,620.46
  4. Step 4: Simplify right side
    8,277.66x = 64,187,802.13
  5. Step 5: Solve for x
    x = 64,187,802.13/8,277.66
  6. Step 6: Final answer
    x = 7,754.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.