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Finding the Fourth Proportional to 7,266.76, 10,027.94 and 4,242.46

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Solution

The fourth proportional to 7,266.76, 10,027.94 and 4,242.46 is: 5,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,266.76 : 10,027.94 = 4,242.46 : x
  2. Step 2: Convert to fraction form
    7,266.76/10,027.94 = 4,242.46/x
  3. Step 3: Cross multiply
    7,266.76x = 10,027.94 × 4,242.46
  4. Step 4: Simplify right side
    7,266.76x = 42,543,134.33
  5. Step 5: Solve for x
    x = 42,543,134.33/7,266.76
  6. Step 6: Final answer
    x = 5,854.48

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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.