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Finding the Fourth Proportional to 12,568.64, 17,344.88 and 7,263.52

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Solution

The fourth proportional to 12,568.64, 17,344.88 and 7,263.52 is: 10,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.64 : 17,344.88 = 7,263.52 : x
  2. Step 2: Convert to fraction form
    12,568.64/17,344.88 = 7,263.52/x
  3. Step 3: Cross multiply
    12,568.64x = 17,344.88 × 7,263.52
  4. Step 4: Simplify right side
    12,568.64x = 125,984,882.78
  5. Step 5: Solve for x
    x = 125,984,882.78/12,568.64
  6. Step 6: Final answer
    x = 10,023.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.