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Finding the Fourth Proportional to 8,421.92, 12,630.71 and 2,497.41

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Solution

The fourth proportional to 8,421.92, 12,630.71 and 2,497.41 is: 3,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.92 : 12,630.71 = 2,497.41 : x
  2. Step 2: Convert to fraction form
    8,421.92/12,630.71 = 2,497.41/x
  3. Step 3: Cross multiply
    8,421.92x = 12,630.71 × 2,497.41
  4. Step 4: Simplify right side
    8,421.92x = 31,544,061.46
  5. Step 5: Solve for x
    x = 31,544,061.46/8,421.92
  6. Step 6: Final answer
    x = 3,745.47

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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.