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Finding the Fourth Proportional to 8,246.61, 12,353.97 and 5,127.86

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Solution

The fourth proportional to 8,246.61, 12,353.97 and 5,127.86 is: 7,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.61 : 12,353.97 = 5,127.86 : x
  2. Step 2: Convert to fraction form
    8,246.61/12,353.97 = 5,127.86/x
  3. Step 3: Cross multiply
    8,246.61x = 12,353.97 × 5,127.86
  4. Step 4: Simplify right side
    8,246.61x = 63,349,380.38
  5. Step 5: Solve for x
    x = 63,349,380.38/8,246.61
  6. Step 6: Final answer
    x = 7,681.87

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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.