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Finding the Fourth Proportional to 7,266.80, 10,027.86 and 4,122.92

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Solution

The fourth proportional to 7,266.80, 10,027.86 and 4,122.92 is: 5,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.80 : 10,027.86 = 4,122.92 : x
  2. Step 2: Convert to fraction form
    7,266.80/10,027.86 = 4,122.92/x
  3. Step 3: Cross multiply
    7,266.80x = 10,027.86 × 4,122.92
  4. Step 4: Simplify right side
    7,266.80x = 41,344,064.55
  5. Step 5: Solve for x
    x = 41,344,064.55/7,266.80
  6. Step 6: Final answer
    x = 5,689.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.