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Finding the Fourth Proportional to 8,431.92, 12,646.07 and 2,507.38

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Solution

The fourth proportional to 8,431.92, 12,646.07 and 2,507.38 is: 3,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.92 : 12,646.07 = 2,507.38 : x
  2. Step 2: Convert to fraction form
    8,431.92/12,646.07 = 2,507.38/x
  3. Step 3: Cross multiply
    8,431.92x = 12,646.07 × 2,507.38
  4. Step 4: Simplify right side
    8,431.92x = 31,708,503.00
  5. Step 5: Solve for x
    x = 31,708,503.00/8,431.92
  6. Step 6: Final answer
    x = 3,760.53

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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.