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Finding the Fourth Proportional to 7,780.80, 10,737.09 and 4,423.15

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Solution

The fourth proportional to 7,780.80, 10,737.09 and 4,423.15 is: 6,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.80 : 10,737.09 = 4,423.15 : x
  2. Step 2: Convert to fraction form
    7,780.80/10,737.09 = 4,423.15/x
  3. Step 3: Cross multiply
    7,780.80x = 10,737.09 × 4,423.15
  4. Step 4: Simplify right side
    7,780.80x = 47,491,737.52
  5. Step 5: Solve for x
    x = 47,491,737.52/7,780.80
  6. Step 6: Final answer
    x = 6,103.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.