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Finding the Fourth Proportional to 7,181.33, 9,899.82 and 5,188.73

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Solution

The fourth proportional to 7,181.33, 9,899.82 and 5,188.73 is: 7,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.33 : 9,899.82 = 5,188.73 : x
  2. Step 2: Convert to fraction form
    7,181.33/9,899.82 = 5,188.73/x
  3. Step 3: Cross multiply
    7,181.33x = 9,899.82 × 5,188.73
  4. Step 4: Simplify right side
    7,181.33x = 51,367,443.53
  5. Step 5: Solve for x
    x = 51,367,443.53/7,181.33
  6. Step 6: Final answer
    x = 7,152.92

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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.