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Finding the Fourth Proportional to 10,871.28, 15,008.49 and 9,690.30

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Solution

The fourth proportional to 10,871.28, 15,008.49 and 9,690.30 is: 13,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.28 : 15,008.49 = 9,690.30 : x
  2. Step 2: Convert to fraction form
    10,871.28/15,008.49 = 9,690.30/x
  3. Step 3: Cross multiply
    10,871.28x = 15,008.49 × 9,690.30
  4. Step 4: Simplify right side
    10,871.28x = 145,436,770.65
  5. Step 5: Solve for x
    x = 145,436,770.65/10,871.28
  6. Step 6: Final answer
    x = 13,378.07

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