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Finding the Fourth Proportional to 8,278.34, 12,417.90 and 2,732.18

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Solution

The fourth proportional to 8,278.34, 12,417.90 and 2,732.18 is: 4,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.34 : 12,417.90 = 2,732.18 : x
  2. Step 2: Convert to fraction form
    8,278.34/12,417.90 = 2,732.18/x
  3. Step 3: Cross multiply
    8,278.34x = 12,417.90 × 2,732.18
  4. Step 4: Simplify right side
    8,278.34x = 33,927,875.93
  5. Step 5: Solve for x
    x = 33,927,875.93/8,278.34
  6. Step 6: Final answer
    x = 4,098.39

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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.