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Finding the Fourth Proportional to 6,957.45, 10,438.74 and 5,781.96

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Solution

The fourth proportional to 6,957.45, 10,438.74 and 5,781.96 is: 8,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.45 : 10,438.74 = 5,781.96 : x
  2. Step 2: Convert to fraction form
    6,957.45/10,438.74 = 5,781.96/x
  3. Step 3: Cross multiply
    6,957.45x = 10,438.74 × 5,781.96
  4. Step 4: Simplify right side
    6,957.45x = 60,356,377.13
  5. Step 5: Solve for x
    x = 60,356,377.13/6,957.45
  6. Step 6: Final answer
    x = 8,675.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.