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Finding the Fourth Proportional to 7,780.41, 10,737.11 and 4,243.74

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Solution

The fourth proportional to 7,780.41, 10,737.11 and 4,243.74 is: 5,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.41 : 10,737.11 = 4,243.74 : x
  2. Step 2: Convert to fraction form
    7,780.41/10,737.11 = 4,243.74/x
  3. Step 3: Cross multiply
    7,780.41x = 10,737.11 × 4,243.74
  4. Step 4: Simplify right side
    7,780.41x = 45,565,481.97
  5. Step 5: Solve for x
    x = 45,565,481.97/7,780.41
  6. Step 6: Final answer
    x = 5,856.44

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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.