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Finding the Fourth Proportional to 7,965.27, 10,989 and 5,132.43

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Solution

The fourth proportional to 7,965.27, 10,989 and 5,132.43 is: 7,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.27 : 10,989 = 5,132.43 : x
  2. Step 2: Convert to fraction form
    7,965.27/10,989 = 5,132.43/x
  3. Step 3: Cross multiply
    7,965.27x = 10,989 × 5,132.43
  4. Step 4: Simplify right side
    7,965.27x = 56,400,273.27
  5. Step 5: Solve for x
    x = 56,400,273.27/7,965.27
  6. Step 6: Final answer
    x = 7,080.77

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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.