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Finding the Fourth Proportional to 8,258.16, 12,389.18 and 2,711.50

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Solution

The fourth proportional to 8,258.16, 12,389.18 and 2,711.50 is: 4,067.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.16 : 12,389.18 = 2,711.50 : x
  2. Step 2: Convert to fraction form
    8,258.16/12,389.18 = 2,711.50/x
  3. Step 3: Cross multiply
    8,258.16x = 12,389.18 × 2,711.50
  4. Step 4: Simplify right side
    8,258.16x = 33,593,261.57
  5. Step 5: Solve for x
    x = 33,593,261.57/8,258.16
  6. Step 6: Final answer
    x = 4,067.89

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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.