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Finding the Fourth Proportional to 7,471.24, 11,206.52 and 2,540.90

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Solution

The fourth proportional to 7,471.24, 11,206.52 and 2,540.90 is: 3,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.24 : 11,206.52 = 2,540.90 : x
  2. Step 2: Convert to fraction form
    7,471.24/11,206.52 = 2,540.90/x
  3. Step 3: Cross multiply
    7,471.24x = 11,206.52 × 2,540.90
  4. Step 4: Simplify right side
    7,471.24x = 28,474,671.51
  5. Step 5: Solve for x
    x = 28,474,671.51/7,471.24
  6. Step 6: Final answer
    x = 3,811.24

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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.