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Finding the Fourth Proportional to 8,154.82, 12,232.50 and 2,608.76

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Solution

The fourth proportional to 8,154.82, 12,232.50 and 2,608.76 is: 3,913.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.82 : 12,232.50 = 2,608.76 : x
  2. Step 2: Convert to fraction form
    8,154.82/12,232.50 = 2,608.76/x
  3. Step 3: Cross multiply
    8,154.82x = 12,232.50 × 2,608.76
  4. Step 4: Simplify right side
    8,154.82x = 31,911,656.70
  5. Step 5: Solve for x
    x = 31,911,656.70/8,154.82
  6. Step 6: Final answer
    x = 3,913.23

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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.