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Finding the Fourth Proportional to 7,781.46, 10,686.23 and 6,662.40

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Solution

The fourth proportional to 7,781.46, 10,686.23 and 6,662.40 is: 9,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.46 : 10,686.23 = 6,662.40 : x
  2. Step 2: Convert to fraction form
    7,781.46/10,686.23 = 6,662.40/x
  3. Step 3: Cross multiply
    7,781.46x = 10,686.23 × 6,662.40
  4. Step 4: Simplify right side
    7,781.46x = 71,195,905.44
  5. Step 5: Solve for x
    x = 71,195,905.44/7,781.46
  6. Step 6: Final answer
    x = 9,149.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.