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Finding the Fourth Proportional to 8,217.82, 11,337.82 and 4,678.53

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Solution

The fourth proportional to 8,217.82, 11,337.82 and 4,678.53 is: 6,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.82 : 11,337.82 = 4,678.53 : x
  2. Step 2: Convert to fraction form
    8,217.82/11,337.82 = 4,678.53/x
  3. Step 3: Cross multiply
    8,217.82x = 11,337.82 × 4,678.53
  4. Step 4: Simplify right side
    8,217.82x = 53,044,303.11
  5. Step 5: Solve for x
    x = 53,044,303.11/8,217.82
  6. Step 6: Final answer
    x = 6,454.79

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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.