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Finding the Fourth Proportional to 7,856.28, 11,780.64 and 3,471.48

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Solution

The fourth proportional to 7,856.28, 11,780.64 and 3,471.48 is: 5,205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.28 : 11,780.64 = 3,471.48 : x
  2. Step 2: Convert to fraction form
    7,856.28/11,780.64 = 3,471.48/x
  3. Step 3: Cross multiply
    7,856.28x = 11,780.64 × 3,471.48
  4. Step 4: Simplify right side
    7,856.28x = 40,896,256.15
  5. Step 5: Solve for x
    x = 40,896,256.15/7,856.28
  6. Step 6: Final answer
    x = 5,205.55

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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.