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Finding the Fourth Proportional to 7,781.37, 10,737.86 and 4,423.71

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Solution

The fourth proportional to 7,781.37, 10,737.86 and 4,423.71 is: 6,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.37 : 10,737.86 = 4,423.71 : x
  2. Step 2: Convert to fraction form
    7,781.37/10,737.86 = 4,423.71/x
  3. Step 3: Cross multiply
    7,781.37x = 10,737.86 × 4,423.71
  4. Step 4: Simplify right side
    7,781.37x = 47,501,156.54
  5. Step 5: Solve for x
    x = 47,501,156.54/7,781.37
  6. Step 6: Final answer
    x = 6,104.47

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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.