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Finding the Fourth Proportional to 8,200.51, 12,301.15 and 2,654.29

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Solution

The fourth proportional to 8,200.51, 12,301.15 and 2,654.29 is: 3,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.51 : 12,301.15 = 2,654.29 : x
  2. Step 2: Convert to fraction form
    8,200.51/12,301.15 = 2,654.29/x
  3. Step 3: Cross multiply
    8,200.51x = 12,301.15 × 2,654.29
  4. Step 4: Simplify right side
    8,200.51x = 32,650,828.17
  5. Step 5: Solve for x
    x = 32,650,828.17/8,200.51
  6. Step 6: Final answer
    x = 3,981.56

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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.