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Finding the Fourth Proportional to 10,232.64, 15,337.44 and 5,042.16

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Solution

The fourth proportional to 10,232.64, 15,337.44 and 5,042.16 is: 7,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.64 : 15,337.44 = 5,042.16 : x
  2. Step 2: Convert to fraction form
    10,232.64/15,337.44 = 5,042.16/x
  3. Step 3: Cross multiply
    10,232.64x = 15,337.44 × 5,042.16
  4. Step 4: Simplify right side
    10,232.64x = 77,333,826.47
  5. Step 5: Solve for x
    x = 77,333,826.47/10,232.64
  6. Step 6: Final answer
    x = 7,557.56

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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.