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Finding the Fourth Proportional to 8,164.10, 12,248.04 and 2,617.76

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Solution

The fourth proportional to 8,164.10, 12,248.04 and 2,617.76 is: 3,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.10 : 12,248.04 = 2,617.76 : x
  2. Step 2: Convert to fraction form
    8,164.10/12,248.04 = 2,617.76/x
  3. Step 3: Cross multiply
    8,164.10x = 12,248.04 × 2,617.76
  4. Step 4: Simplify right side
    8,164.10x = 32,062,429.19
  5. Step 5: Solve for x
    x = 32,062,429.19/8,164.10
  6. Step 6: Final answer
    x = 3,927.25

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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.