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Finding the Fourth Proportional to 7,471.86, 11,206.59 and 2,276.52

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Solution

The fourth proportional to 7,471.86, 11,206.59 and 2,276.52 is: 3,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.86 : 11,206.59 = 2,276.52 : x
  2. Step 2: Convert to fraction form
    7,471.86/11,206.59 = 2,276.52/x
  3. Step 3: Cross multiply
    7,471.86x = 11,206.59 × 2,276.52
  4. Step 4: Simplify right side
    7,471.86x = 25,512,026.27
  5. Step 5: Solve for x
    x = 25,512,026.27/7,471.86
  6. Step 6: Final answer
    x = 3,414.41

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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.