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Finding the Fourth Proportional to 7,614.50, 11,418.72 and 2,931.90

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Solution

The fourth proportional to 7,614.50, 11,418.72 and 2,931.90 is: 4,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.50 : 11,418.72 = 2,931.90 : x
  2. Step 2: Convert to fraction form
    7,614.50/11,418.72 = 2,931.90/x
  3. Step 3: Cross multiply
    7,614.50x = 11,418.72 × 2,931.90
  4. Step 4: Simplify right side
    7,614.50x = 33,478,545.17
  5. Step 5: Solve for x
    x = 33,478,545.17/7,614.50
  6. Step 6: Final answer
    x = 4,396.69

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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.