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Finding the Fourth Proportional to 8,306.90, 11,463.79 and 4,530.27

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Solution

The fourth proportional to 8,306.90, 11,463.79 and 4,530.27 is: 6,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.90 : 11,463.79 = 4,530.27 : x
  2. Step 2: Convert to fraction form
    8,306.90/11,463.79 = 4,530.27/x
  3. Step 3: Cross multiply
    8,306.90x = 11,463.79 × 4,530.27
  4. Step 4: Simplify right side
    8,306.90x = 51,934,046.59
  5. Step 5: Solve for x
    x = 51,934,046.59/8,306.90
  6. Step 6: Final answer
    x = 6,251.92

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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.