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Finding the Fourth Proportional to 10,487.40, 15,752.96 and 6,113.40

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Solution

The fourth proportional to 10,487.40, 15,752.96 and 6,113.40 is: 9,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.40 : 15,752.96 = 6,113.40 : x
  2. Step 2: Convert to fraction form
    10,487.40/15,752.96 = 6,113.40/x
  3. Step 3: Cross multiply
    10,487.40x = 15,752.96 × 6,113.40
  4. Step 4: Simplify right side
    10,487.40x = 96,304,145.66
  5. Step 5: Solve for x
    x = 96,304,145.66/10,487.40
  6. Step 6: Final answer
    x = 9,182.84

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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.