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Finding the Fourth Proportional to 7,781.10, 10,737.91 and 4,423.82

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Solution

The fourth proportional to 7,781.10, 10,737.91 and 4,423.82 is: 6,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.10 : 10,737.91 = 4,423.82 : x
  2. Step 2: Convert to fraction form
    7,781.10/10,737.91 = 4,423.82/x
  3. Step 3: Cross multiply
    7,781.10x = 10,737.91 × 4,423.82
  4. Step 4: Simplify right side
    7,781.10x = 47,502,581.02
  5. Step 5: Solve for x
    x = 47,502,581.02/7,781.10
  6. Step 6: Final answer
    x = 6,104.87

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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.