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Finding the Fourth Proportional to 8,265.28, 12,392.16 and 3,069.76

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Solution

The fourth proportional to 8,265.28, 12,392.16 and 3,069.76 is: 4,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.28 : 12,392.16 = 3,069.76 : x
  2. Step 2: Convert to fraction form
    8,265.28/12,392.16 = 3,069.76/x
  3. Step 3: Cross multiply
    8,265.28x = 12,392.16 × 3,069.76
  4. Step 4: Simplify right side
    8,265.28x = 38,040,957.08
  5. Step 5: Solve for x
    x = 38,040,957.08/8,265.28
  6. Step 6: Final answer
    x = 4,602.50

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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.