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Finding the Fourth Proportional to 7,780.71, 10,737.41 and 4,244.00

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Solution

The fourth proportional to 7,780.71, 10,737.41 and 4,244.00 is: 5,856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.71 : 10,737.41 = 4,244.00 : x
  2. Step 2: Convert to fraction form
    7,780.71/10,737.41 = 4,244.00/x
  3. Step 3: Cross multiply
    7,780.71x = 10,737.41 × 4,244.00
  4. Step 4: Simplify right side
    7,780.71x = 45,569,517.01
  5. Step 5: Solve for x
    x = 45,569,517.01/7,780.71
  6. Step 6: Final answer
    x = 5,856.73

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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.