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Finding the Fourth Proportional to 7,854.43, 11,780.42 and 5,100.62

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Solution

The fourth proportional to 7,854.43, 11,780.42 and 5,100.62 is: 7,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.43 : 11,780.42 = 5,100.62 : x
  2. Step 2: Convert to fraction form
    7,854.43/11,780.42 = 5,100.62/x
  3. Step 3: Cross multiply
    7,854.43x = 11,780.42 × 5,100.62
  4. Step 4: Simplify right side
    7,854.43x = 60,087,420.36
  5. Step 5: Solve for x
    x = 60,087,420.36/7,854.43
  6. Step 6: Final answer
    x = 7,650.14

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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.