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Finding the Fourth Proportional to 8,101.38, 12,152.07 and 2,258.14

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Solution

The fourth proportional to 8,101.38, 12,152.07 and 2,258.14 is: 3,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.38 : 12,152.07 = 2,258.14 : x
  2. Step 2: Convert to fraction form
    8,101.38/12,152.07 = 2,258.14/x
  3. Step 3: Cross multiply
    8,101.38x = 12,152.07 × 2,258.14
  4. Step 4: Simplify right side
    8,101.38x = 27,441,075.35
  5. Step 5: Solve for x
    x = 27,441,075.35/8,101.38
  6. Step 6: Final answer
    x = 3,387.21

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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.