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Finding the Fourth Proportional to 7,909.68, 11,866.62 and 2,363.04

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Solution

The fourth proportional to 7,909.68, 11,866.62 and 2,363.04 is: 3,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.68 : 11,866.62 = 2,363.04 : x
  2. Step 2: Convert to fraction form
    7,909.68/11,866.62 = 2,363.04/x
  3. Step 3: Cross multiply
    7,909.68x = 11,866.62 × 2,363.04
  4. Step 4: Simplify right side
    7,909.68x = 28,041,297.72
  5. Step 5: Solve for x
    x = 28,041,297.72/7,909.68
  6. Step 6: Final answer
    x = 3,545.19

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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.