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Finding the Fourth Proportional to 11,096.85, 15,308.82 and 7,315.17

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Solution

The fourth proportional to 11,096.85, 15,308.82 and 7,315.17 is: 10,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.85 : 15,308.82 = 7,315.17 : x
  2. Step 2: Convert to fraction form
    11,096.85/15,308.82 = 7,315.17/x
  3. Step 3: Cross multiply
    11,096.85x = 15,308.82 × 7,315.17
  4. Step 4: Simplify right side
    11,096.85x = 111,986,620.80
  5. Step 5: Solve for x
    x = 111,986,620.80/11,096.85
  6. Step 6: Final answer
    x = 10,091.75

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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.