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Finding the Fourth Proportional to 8,641.50, 12,973.14 and 7,351.17

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Solution

The fourth proportional to 8,641.50, 12,973.14 and 7,351.17 is: 11,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.50 : 12,973.14 = 7,351.17 : x
  2. Step 2: Convert to fraction form
    8,641.50/12,973.14 = 7,351.17/x
  3. Step 3: Cross multiply
    8,641.50x = 12,973.14 × 7,351.17
  4. Step 4: Simplify right side
    8,641.50x = 95,367,757.57
  5. Step 5: Solve for x
    x = 95,367,757.57/8,641.50
  6. Step 6: Final answer
    x = 11,036.02

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Why These Related Problems?

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