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Finding the Fourth Proportional to 7,909.81, 11,867.19 and 2,363.38

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Solution

The fourth proportional to 7,909.81, 11,867.19 and 2,363.38 is: 3,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.81 : 11,867.19 = 2,363.38 : x
  2. Step 2: Convert to fraction form
    7,909.81/11,867.19 = 2,363.38/x
  3. Step 3: Cross multiply
    7,909.81x = 11,867.19 × 2,363.38
  4. Step 4: Simplify right side
    7,909.81x = 28,046,679.50
  5. Step 5: Solve for x
    x = 28,046,679.50/7,909.81
  6. Step 6: Final answer
    x = 3,545.81

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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.