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Finding the Fourth Proportional to 8,160.96, 11,251.28 and 6,488

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Solution

The fourth proportional to 8,160.96, 11,251.28 and 6,488 is: 8,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.96 : 11,251.28 = 6,488 : x
  2. Step 2: Convert to fraction form
    8,160.96/11,251.28 = 6,488/x
  3. Step 3: Cross multiply
    8,160.96x = 11,251.28 × 6,488
  4. Step 4: Simplify right side
    8,160.96x = 72,998,304.64
  5. Step 5: Solve for x
    x = 72,998,304.64/8,160.96
  6. Step 6: Final answer
    x = 8,944.82

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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.