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Finding the Fourth Proportional to 8,378.52, 12,567.51 and 2,534.64

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Solution

The fourth proportional to 8,378.52, 12,567.51 and 2,534.64 is: 3,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.52 : 12,567.51 = 2,534.64 : x
  2. Step 2: Convert to fraction form
    8,378.52/12,567.51 = 2,534.64/x
  3. Step 3: Cross multiply
    8,378.52x = 12,567.51 × 2,534.64
  4. Step 4: Simplify right side
    8,378.52x = 31,854,113.55
  5. Step 5: Solve for x
    x = 31,854,113.55/8,378.52
  6. Step 6: Final answer
    x = 3,801.88

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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.