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Finding the Fourth Proportional to 8,087.68, 11,132.93 and 6,972.31

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Solution

The fourth proportional to 8,087.68, 11,132.93 and 6,972.31 is: 9,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,087.68 : 11,132.93 = 6,972.31 : x
  2. Step 2: Convert to fraction form
    8,087.68/11,132.93 = 6,972.31/x
  3. Step 3: Cross multiply
    8,087.68x = 11,132.93 × 6,972.31
  4. Step 4: Simplify right side
    8,087.68x = 77,622,148.64
  5. Step 5: Solve for x
    x = 77,622,148.64/8,087.68
  6. Step 6: Final answer
    x = 9,597.59

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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.