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Finding the Fourth Proportional to 8,421.71, 12,635.29 and 4,039.50

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Solution

The fourth proportional to 8,421.71, 12,635.29 and 4,039.50 is: 6,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.71 : 12,635.29 = 4,039.50 : x
  2. Step 2: Convert to fraction form
    8,421.71/12,635.29 = 4,039.50/x
  3. Step 3: Cross multiply
    8,421.71x = 12,635.29 × 4,039.50
  4. Step 4: Simplify right side
    8,421.71x = 51,040,306.39
  5. Step 5: Solve for x
    x = 51,040,306.39/8,421.71
  6. Step 6: Final answer
    x = 6,060.57

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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.