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Finding the Fourth Proportional to 10,466, 15,674.39 and 8,259.96

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Solution

The fourth proportional to 10,466, 15,674.39 and 8,259.96 is: 12,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466 : 15,674.39 = 8,259.96 : x
  2. Step 2: Convert to fraction form
    10,466/15,674.39 = 8,259.96/x
  3. Step 3: Cross multiply
    10,466x = 15,674.39 × 8,259.96
  4. Step 4: Simplify right side
    10,466x = 129,469,834.42
  5. Step 5: Solve for x
    x = 129,469,834.42/10,466
  6. Step 6: Final answer
    x = 12,370.52

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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.