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Finding the Fourth Proportional to 8,102.39, 12,153.68 and 2,258.64

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Solution

The fourth proportional to 8,102.39, 12,153.68 and 2,258.64 is: 3,387.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.39 : 12,153.68 = 2,258.64 : x
  2. Step 2: Convert to fraction form
    8,102.39/12,153.68 = 2,258.64/x
  3. Step 3: Cross multiply
    8,102.39x = 12,153.68 × 2,258.64
  4. Step 4: Simplify right side
    8,102.39x = 27,450,776.50
  5. Step 5: Solve for x
    x = 27,450,776.50/8,102.39
  6. Step 6: Final answer
    x = 3,387.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.