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Finding the Fourth Proportional to 12,802.50, 19,211.31 and 5,406.48

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Solution

The fourth proportional to 12,802.50, 19,211.31 and 5,406.48 is: 8,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 19,211.31 = 5,406.48 : x
  2. Step 2: Convert to fraction form
    12,802.50/19,211.31 = 5,406.48/x
  3. Step 3: Cross multiply
    12,802.50x = 19,211.31 × 5,406.48
  4. Step 4: Simplify right side
    12,802.50x = 103,865,563.29
  5. Step 5: Solve for x
    x = 103,865,563.29/12,802.50
  6. Step 6: Final answer
    x = 8,112.91

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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.