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Finding the Fourth Proportional to 12,591.22, 17,377.24 and 7,877.02

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Solution

The fourth proportional to 12,591.22, 17,377.24 and 7,877.02 is: 10,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.22 : 17,377.24 = 7,877.02 : x
  2. Step 2: Convert to fraction form
    12,591.22/17,377.24 = 7,877.02/x
  3. Step 3: Cross multiply
    12,591.22x = 17,377.24 × 7,877.02
  4. Step 4: Simplify right side
    12,591.22x = 136,880,867.02
  5. Step 5: Solve for x
    x = 136,880,867.02/12,591.22
  6. Step 6: Final answer
    x = 10,871.14

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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.