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Finding the Fourth Proportional to 7,471.09, 10,306.65 and 4,481.74

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Solution

The fourth proportional to 7,471.09, 10,306.65 and 4,481.74 is: 6,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.09 : 10,306.65 = 4,481.74 : x
  2. Step 2: Convert to fraction form
    7,471.09/10,306.65 = 4,481.74/x
  3. Step 3: Cross multiply
    7,471.09x = 10,306.65 × 4,481.74
  4. Step 4: Simplify right side
    7,471.09x = 46,191,725.57
  5. Step 5: Solve for x
    x = 46,191,725.57/7,471.09
  6. Step 6: Final answer
    x = 6,182.73

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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.