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Finding the Fourth Proportional to 7,806.72, 11,710.02 and 2,612.56

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Solution

The fourth proportional to 7,806.72, 11,710.02 and 2,612.56 is: 3,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.72 : 11,710.02 = 2,612.56 : x
  2. Step 2: Convert to fraction form
    7,806.72/11,710.02 = 2,612.56/x
  3. Step 3: Cross multiply
    7,806.72x = 11,710.02 × 2,612.56
  4. Step 4: Simplify right side
    7,806.72x = 30,593,129.85
  5. Step 5: Solve for x
    x = 30,593,129.85/7,806.72
  6. Step 6: Final answer
    x = 3,918.82

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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.