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Finding the Fourth Proportional to 8,101.56, 12,152.97 and 2,258.19

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Solution

The fourth proportional to 8,101.56, 12,152.97 and 2,258.19 is: 3,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.56 : 12,152.97 = 2,258.19 : x
  2. Step 2: Convert to fraction form
    8,101.56/12,152.97 = 2,258.19/x
  3. Step 3: Cross multiply
    8,101.56x = 12,152.97 × 2,258.19
  4. Step 4: Simplify right side
    8,101.56x = 27,443,715.32
  5. Step 5: Solve for x
    x = 27,443,715.32/8,101.56
  6. Step 6: Final answer
    x = 3,387.46

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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.