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Finding the Fourth Proportional to 8,402.13, 12,601.58 and 2,557.98

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Solution

The fourth proportional to 8,402.13, 12,601.58 and 2,557.98 is: 3,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.13 : 12,601.58 = 2,557.98 : x
  2. Step 2: Convert to fraction form
    8,402.13/12,601.58 = 2,557.98/x
  3. Step 3: Cross multiply
    8,402.13x = 12,601.58 × 2,557.98
  4. Step 4: Simplify right side
    8,402.13x = 32,234,576.82
  5. Step 5: Solve for x
    x = 32,234,576.82/8,402.13
  6. Step 6: Final answer
    x = 3,836.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.