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Finding the Fourth Proportional to 8,330.50, 12,497.49 and 2,407.38

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Solution

The fourth proportional to 8,330.50, 12,497.49 and 2,407.38 is: 3,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.50 : 12,497.49 = 2,407.38 : x
  2. Step 2: Convert to fraction form
    8,330.50/12,497.49 = 2,407.38/x
  3. Step 3: Cross multiply
    8,330.50x = 12,497.49 × 2,407.38
  4. Step 4: Simplify right side
    8,330.50x = 30,086,160.61
  5. Step 5: Solve for x
    x = 30,086,160.61/8,330.50
  6. Step 6: Final answer
    x = 3,611.57

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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.