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Finding the Fourth Proportional to 7,856.92, 11,806.98 and 7,343.20

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Solution

The fourth proportional to 7,856.92, 11,806.98 and 7,343.20 is: 11,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.92 : 11,806.98 = 7,343.20 : x
  2. Step 2: Convert to fraction form
    7,856.92/11,806.98 = 7,343.20/x
  3. Step 3: Cross multiply
    7,856.92x = 11,806.98 × 7,343.20
  4. Step 4: Simplify right side
    7,856.92x = 86,701,015.54
  5. Step 5: Solve for x
    x = 86,701,015.54/7,856.92
  6. Step 6: Final answer
    x = 11,034.99

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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.