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Finding the Fourth Proportional to 7,422.74, 11,138.43 and 2,806.10

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Solution

The fourth proportional to 7,422.74, 11,138.43 and 2,806.10 is: 4,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.74 : 11,138.43 = 2,806.10 : x
  2. Step 2: Convert to fraction form
    7,422.74/11,138.43 = 2,806.10/x
  3. Step 3: Cross multiply
    7,422.74x = 11,138.43 × 2,806.10
  4. Step 4: Simplify right side
    7,422.74x = 31,255,548.42
  5. Step 5: Solve for x
    x = 31,255,548.42/7,422.74
  6. Step 6: Final answer
    x = 4,210.78

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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.