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Finding the Fourth Proportional to 8,098.30, 12,146.64 and 2,254.96

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Solution

The fourth proportional to 8,098.30, 12,146.64 and 2,254.96 is: 3,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.30 : 12,146.64 = 2,254.96 : x
  2. Step 2: Convert to fraction form
    8,098.30/12,146.64 = 2,254.96/x
  3. Step 3: Cross multiply
    8,098.30x = 12,146.64 × 2,254.96
  4. Step 4: Simplify right side
    8,098.30x = 27,390,187.33
  5. Step 5: Solve for x
    x = 27,390,187.33/8,098.30
  6. Step 6: Final answer
    x = 3,382.21

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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.