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Finding the Fourth Proportional to 8,306.47, 11,463.96 and 4,769.61

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Solution

The fourth proportional to 8,306.47, 11,463.96 and 4,769.61 is: 6,582.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.47 : 11,463.96 = 4,769.61 : x
  2. Step 2: Convert to fraction form
    8,306.47/11,463.96 = 4,769.61/x
  3. Step 3: Cross multiply
    8,306.47x = 11,463.96 × 4,769.61
  4. Step 4: Simplify right side
    8,306.47x = 54,678,618.26
  5. Step 5: Solve for x
    x = 54,678,618.26/8,306.47
  6. Step 6: Final answer
    x = 6,582.65

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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.