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Finding the Fourth Proportional to 8,264.54, 12,397.17 and 2,421.17

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Solution

The fourth proportional to 8,264.54, 12,397.17 and 2,421.17 is: 3,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.54 : 12,397.17 = 2,421.17 : x
  2. Step 2: Convert to fraction form
    8,264.54/12,397.17 = 2,421.17/x
  3. Step 3: Cross multiply
    8,264.54x = 12,397.17 × 2,421.17
  4. Step 4: Simplify right side
    8,264.54x = 30,015,656.09
  5. Step 5: Solve for x
    x = 30,015,656.09/8,264.54
  6. Step 6: Final answer
    x = 3,631.86

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Why These Related Problems?

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