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Finding the Fourth Proportional to 8,678.67, 13,033.80 and 5,398.17

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Solution

The fourth proportional to 8,678.67, 13,033.80 and 5,398.17 is: 8,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.67 : 13,033.80 = 5,398.17 : x
  2. Step 2: Convert to fraction form
    8,678.67/13,033.80 = 5,398.17/x
  3. Step 3: Cross multiply
    8,678.67x = 13,033.80 × 5,398.17
  4. Step 4: Simplify right side
    8,678.67x = 70,358,668.15
  5. Step 5: Solve for x
    x = 70,358,668.15/8,678.67
  6. Step 6: Final answer
    x = 8,107.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.