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Finding the Fourth Proportional to 10,929.87, 16,394.67 and 3,534.17

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Solution

The fourth proportional to 10,929.87, 16,394.67 and 3,534.17 is: 5,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.87 : 16,394.67 = 3,534.17 : x
  2. Step 2: Convert to fraction form
    10,929.87/16,394.67 = 3,534.17/x
  3. Step 3: Cross multiply
    10,929.87x = 16,394.67 × 3,534.17
  4. Step 4: Simplify right side
    10,929.87x = 57,941,468.90
  5. Step 5: Solve for x
    x = 57,941,468.90/10,929.87
  6. Step 6: Final answer
    x = 5,301.20

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