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Finding the Fourth Proportional to 8,400.81, 12,601.23 and 2,557.47

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Solution

The fourth proportional to 8,400.81, 12,601.23 and 2,557.47 is: 3,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.81 : 12,601.23 = 2,557.47 : x
  2. Step 2: Convert to fraction form
    8,400.81/12,601.23 = 2,557.47/x
  3. Step 3: Cross multiply
    8,400.81x = 12,601.23 × 2,557.47
  4. Step 4: Simplify right side
    8,400.81x = 32,227,267.69
  5. Step 5: Solve for x
    x = 32,227,267.69/8,400.81
  6. Step 6: Final answer
    x = 3,836.21

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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.