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Finding the Fourth Proportional to 10,342.76, 15,505.05 and 4,107.17

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Solution

The fourth proportional to 10,342.76, 15,505.05 and 4,107.17 is: 6,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.76 : 15,505.05 = 4,107.17 : x
  2. Step 2: Convert to fraction form
    10,342.76/15,505.05 = 4,107.17/x
  3. Step 3: Cross multiply
    10,342.76x = 15,505.05 × 4,107.17
  4. Step 4: Simplify right side
    10,342.76x = 63,681,876.21
  5. Step 5: Solve for x
    x = 63,681,876.21/10,342.76
  6. Step 6: Final answer
    x = 6,157.15

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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.