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Finding the Fourth Proportional to 7,793.84, 11,691.72 and 2,598.56

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Solution

The fourth proportional to 7,793.84, 11,691.72 and 2,598.56 is: 3,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.84 : 11,691.72 = 2,598.56 : x
  2. Step 2: Convert to fraction form
    7,793.84/11,691.72 = 2,598.56/x
  3. Step 3: Cross multiply
    7,793.84x = 11,691.72 × 2,598.56
  4. Step 4: Simplify right side
    7,793.84x = 30,381,635.92
  5. Step 5: Solve for x
    x = 30,381,635.92/7,793.84
  6. Step 6: Final answer
    x = 3,898.16

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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.