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Finding the Fourth Proportional to 7,487.94, 10,342.56 and 5,607.92

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Solution

The fourth proportional to 7,487.94, 10,342.56 and 5,607.92 is: 7,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.94 : 10,342.56 = 5,607.92 : x
  2. Step 2: Convert to fraction form
    7,487.94/10,342.56 = 5,607.92/x
  3. Step 3: Cross multiply
    7,487.94x = 10,342.56 × 5,607.92
  4. Step 4: Simplify right side
    7,487.94x = 58,000,295.96
  5. Step 5: Solve for x
    x = 58,000,295.96/7,487.94
  6. Step 6: Final answer
    x = 7,745.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.