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Finding the Fourth Proportional to 11,655.28, 16,087.80 and 7,931.44

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Solution

The fourth proportional to 11,655.28, 16,087.80 and 7,931.44 is: 10,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.28 : 16,087.80 = 7,931.44 : x
  2. Step 2: Convert to fraction form
    11,655.28/16,087.80 = 7,931.44/x
  3. Step 3: Cross multiply
    11,655.28x = 16,087.80 × 7,931.44
  4. Step 4: Simplify right side
    11,655.28x = 127,599,420.43
  5. Step 5: Solve for x
    x = 127,599,420.43/11,655.28
  6. Step 6: Final answer
    x = 10,947.78

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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.