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Finding the Fourth Proportional to 8,264.88, 12,397.33 and 2,421.49

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Solution

The fourth proportional to 8,264.88, 12,397.33 and 2,421.49 is: 3,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.88 : 12,397.33 = 2,421.49 : x
  2. Step 2: Convert to fraction form
    8,264.88/12,397.33 = 2,421.49/x
  3. Step 3: Cross multiply
    8,264.88x = 12,397.33 × 2,421.49
  4. Step 4: Simplify right side
    8,264.88x = 30,020,010.62
  5. Step 5: Solve for x
    x = 30,020,010.62/8,264.88
  6. Step 6: Final answer
    x = 3,632.24

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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.