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Finding the Fourth Proportional to 7,780.68, 10,737.22 and 4,243.82

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Solution

The fourth proportional to 7,780.68, 10,737.22 and 4,243.82 is: 5,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.68 : 10,737.22 = 4,243.82 : x
  2. Step 2: Convert to fraction form
    7,780.68/10,737.22 = 4,243.82/x
  3. Step 3: Cross multiply
    7,780.68x = 10,737.22 × 4,243.82
  4. Step 4: Simplify right side
    7,780.68x = 45,566,828.98
  5. Step 5: Solve for x
    x = 45,566,828.98/7,780.68
  6. Step 6: Final answer
    x = 5,856.41

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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.