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Finding the Fourth Proportional to 8,601.28, 11,871.68 and 5,461.76

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Solution

The fourth proportional to 8,601.28, 11,871.68 and 5,461.76 is: 7,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.28 : 11,871.68 = 5,461.76 : x
  2. Step 2: Convert to fraction form
    8,601.28/11,871.68 = 5,461.76/x
  3. Step 3: Cross multiply
    8,601.28x = 11,871.68 × 5,461.76
  4. Step 4: Simplify right side
    8,601.28x = 64,840,266.96
  5. Step 5: Solve for x
    x = 64,840,266.96/8,601.28
  6. Step 6: Final answer
    x = 7,538.44

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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.