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Finding the Fourth Proportional to 8,258.25, 12,387.42 and 2,102.25

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Solution

The fourth proportional to 8,258.25, 12,387.42 and 2,102.25 is: 3,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.25 : 12,387.42 = 2,102.25 : x
  2. Step 2: Convert to fraction form
    8,258.25/12,387.42 = 2,102.25/x
  3. Step 3: Cross multiply
    8,258.25x = 12,387.42 × 2,102.25
  4. Step 4: Simplify right side
    8,258.25x = 26,041,453.70
  5. Step 5: Solve for x
    x = 26,041,453.70/8,258.25
  6. Step 6: Final answer
    x = 3,153.39

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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.