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Finding the Fourth Proportional to 8,215.68, 11,337.53 and 4,678.82

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Solution

The fourth proportional to 8,215.68, 11,337.53 and 4,678.82 is: 6,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.68 : 11,337.53 = 4,678.82 : x
  2. Step 2: Convert to fraction form
    8,215.68/11,337.53 = 4,678.82/x
  3. Step 3: Cross multiply
    8,215.68x = 11,337.53 × 4,678.82
  4. Step 4: Simplify right side
    8,215.68x = 53,046,262.11
  5. Step 5: Solve for x
    x = 53,046,262.11/8,215.68
  6. Step 6: Final answer
    x = 6,456.71

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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.