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Finding the Fourth Proportional to 10,475.14, 15,712.30 and 3,549.64

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Solution

The fourth proportional to 10,475.14, 15,712.30 and 3,549.64 is: 5,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.14 : 15,712.30 = 3,549.64 : x
  2. Step 2: Convert to fraction form
    10,475.14/15,712.30 = 3,549.64/x
  3. Step 3: Cross multiply
    10,475.14x = 15,712.30 × 3,549.64
  4. Step 4: Simplify right side
    10,475.14x = 55,773,008.57
  5. Step 5: Solve for x
    x = 55,773,008.57/10,475.14
  6. Step 6: Final answer
    x = 5,324.32

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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.