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Finding the Fourth Proportional to 8,109.47, 12,169.67 and 3,178.50

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Solution

The fourth proportional to 8,109.47, 12,169.67 and 3,178.50 is: 4,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.47 : 12,169.67 = 3,178.50 : x
  2. Step 2: Convert to fraction form
    8,109.47/12,169.67 = 3,178.50/x
  3. Step 3: Cross multiply
    8,109.47x = 12,169.67 × 3,178.50
  4. Step 4: Simplify right side
    8,109.47x = 38,681,280.20
  5. Step 5: Solve for x
    x = 38,681,280.20/8,109.47
  6. Step 6: Final answer
    x = 4,769.89

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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.