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Finding the Fourth Proportional to 8,263.28, 12,389.16 and 3,067.76

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Solution

The fourth proportional to 8,263.28, 12,389.16 and 3,067.76 is: 4,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.28 : 12,389.16 = 3,067.76 : x
  2. Step 2: Convert to fraction form
    8,263.28/12,389.16 = 3,067.76/x
  3. Step 3: Cross multiply
    8,263.28x = 12,389.16 × 3,067.76
  4. Step 4: Simplify right side
    8,263.28x = 38,006,969.48
  5. Step 5: Solve for x
    x = 38,006,969.48/8,263.28
  6. Step 6: Final answer
    x = 4,599.50

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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.