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Finding the Fourth Proportional to 7,780.74, 10,737.24 and 4,243.98

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Solution

The fourth proportional to 7,780.74, 10,737.24 and 4,243.98 is: 5,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.74 : 10,737.24 = 4,243.98 : x
  2. Step 2: Convert to fraction form
    7,780.74/10,737.24 = 4,243.98/x
  3. Step 3: Cross multiply
    7,780.74x = 10,737.24 × 4,243.98
  4. Step 4: Simplify right side
    7,780.74x = 45,568,631.82
  5. Step 5: Solve for x
    x = 45,568,631.82/7,780.74
  6. Step 6: Final answer
    x = 5,856.59

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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.