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Finding the Fourth Proportional to 28,614.38, 42,920.76 and 7,837.88

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Solution

The fourth proportional to 28,614.38, 42,920.76 and 7,837.88 is: 11,756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,614.38 : 42,920.76 = 7,837.88 : x
  2. Step 2: Convert to fraction form
    28,614.38/42,920.76 = 7,837.88/x
  3. Step 3: Cross multiply
    28,614.38x = 42,920.76 × 7,837.88
  4. Step 4: Simplify right side
    28,614.38x = 336,407,766.39
  5. Step 5: Solve for x
    x = 336,407,766.39/28,614.38
  6. Step 6: Final answer
    x = 11,756.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.