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Finding the Fourth Proportional to 10,549.28, 15,816.11 and 6,388.29

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Solution

The fourth proportional to 10,549.28, 15,816.11 and 6,388.29 is: 9,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.28 : 15,816.11 = 6,388.29 : x
  2. Step 2: Convert to fraction form
    10,549.28/15,816.11 = 6,388.29/x
  3. Step 3: Cross multiply
    10,549.28x = 15,816.11 × 6,388.29
  4. Step 4: Simplify right side
    10,549.28x = 101,037,865.41
  5. Step 5: Solve for x
    x = 101,037,865.41/10,549.28
  6. Step 6: Final answer
    x = 9,577.70

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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.