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Finding the Fourth Proportional to 7,488.98, 11,243.19 and 5,758.82

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Solution

The fourth proportional to 7,488.98, 11,243.19 and 5,758.82 is: 8,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.98 : 11,243.19 = 5,758.82 : x
  2. Step 2: Convert to fraction form
    7,488.98/11,243.19 = 5,758.82/x
  3. Step 3: Cross multiply
    7,488.98x = 11,243.19 × 5,758.82
  4. Step 4: Simplify right side
    7,488.98x = 64,747,507.44
  5. Step 5: Solve for x
    x = 64,747,507.44/7,488.98
  6. Step 6: Final answer
    x = 8,645.70

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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.