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Finding the Fourth Proportional to 7,934.86, 11,902.88 and 2,387.76

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Solution

The fourth proportional to 7,934.86, 11,902.88 and 2,387.76 is: 3,581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.86 : 11,902.88 = 2,387.76 : x
  2. Step 2: Convert to fraction form
    7,934.86/11,902.88 = 2,387.76/x
  3. Step 3: Cross multiply
    7,934.86x = 11,902.88 × 2,387.76
  4. Step 4: Simplify right side
    7,934.86x = 28,421,220.75
  5. Step 5: Solve for x
    x = 28,421,220.75/7,934.86
  6. Step 6: Final answer
    x = 3,581.82

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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.