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Finding the Fourth Proportional to 7,780.56, 10,737 and 4,243.92

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Solution

The fourth proportional to 7,780.56, 10,737 and 4,243.92 is: 5,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.56 : 10,737 = 4,243.92 : x
  2. Step 2: Convert to fraction form
    7,780.56/10,737 = 4,243.92/x
  3. Step 3: Cross multiply
    7,780.56x = 10,737 × 4,243.92
  4. Step 4: Simplify right side
    7,780.56x = 45,566,969.04
  5. Step 5: Solve for x
    x = 45,566,969.04/7,780.56
  6. Step 6: Final answer
    x = 5,856.52

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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.