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Finding the Fourth Proportional to 7,767.60, 11,634.20 and 7,160.56

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Solution

The fourth proportional to 7,767.60, 11,634.20 and 7,160.56 is: 10,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.60 : 11,634.20 = 7,160.56 : x
  2. Step 2: Convert to fraction form
    7,767.60/11,634.20 = 7,160.56/x
  3. Step 3: Cross multiply
    7,767.60x = 11,634.20 × 7,160.56
  4. Step 4: Simplify right side
    7,767.60x = 83,307,387.15
  5. Step 5: Solve for x
    x = 83,307,387.15/7,767.60
  6. Step 6: Final answer
    x = 10,724.98

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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.