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Finding the Fourth Proportional to 7,177.90, 10,755.48 and 5,538.46

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Solution

The fourth proportional to 7,177.90, 10,755.48 and 5,538.46 is: 8,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.90 : 10,755.48 = 5,538.46 : x
  2. Step 2: Convert to fraction form
    7,177.90/10,755.48 = 5,538.46/x
  3. Step 3: Cross multiply
    7,177.90x = 10,755.48 × 5,538.46
  4. Step 4: Simplify right side
    7,177.90x = 59,568,795.76
  5. Step 5: Solve for x
    x = 59,568,795.76/7,177.90
  6. Step 6: Final answer
    x = 8,298.92

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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.