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Finding the Fourth Proportional to 10,617.71, 15,929.30 and 4,040.31

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Solution

The fourth proportional to 10,617.71, 15,929.30 and 4,040.31 is: 6,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.71 : 15,929.30 = 4,040.31 : x
  2. Step 2: Convert to fraction form
    10,617.71/15,929.30 = 4,040.31/x
  3. Step 3: Cross multiply
    10,617.71x = 15,929.30 × 4,040.31
  4. Step 4: Simplify right side
    10,617.71x = 64,359,320.18
  5. Step 5: Solve for x
    x = 64,359,320.18/10,617.71
  6. Step 6: Final answer
    x = 6,061.51

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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.