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Finding the Fourth Proportional to 8,305.38, 12,468.96 and 5,549.76

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Solution

The fourth proportional to 8,305.38, 12,468.96 and 5,549.76 is: 8,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.38 : 12,468.96 = 5,549.76 : x
  2. Step 2: Convert to fraction form
    8,305.38/12,468.96 = 5,549.76/x
  3. Step 3: Cross multiply
    8,305.38x = 12,468.96 × 5,549.76
  4. Step 4: Simplify right side
    8,305.38x = 69,199,735.45
  5. Step 5: Solve for x
    x = 69,199,735.45/8,305.38
  6. Step 6: Final answer
    x = 8,331.92

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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.