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Finding the Fourth Proportional to 8,460.78, 12,691.50 and 2,914.08

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Solution

The fourth proportional to 8,460.78, 12,691.50 and 2,914.08 is: 4,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.78 : 12,691.50 = 2,914.08 : x
  2. Step 2: Convert to fraction form
    8,460.78/12,691.50 = 2,914.08/x
  3. Step 3: Cross multiply
    8,460.78x = 12,691.50 × 2,914.08
  4. Step 4: Simplify right side
    8,460.78x = 36,984,046.32
  5. Step 5: Solve for x
    x = 36,984,046.32/8,460.78
  6. Step 6: Final answer
    x = 4,371.23

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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.