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Finding the Fourth Proportional to 11,191.50, 15,441.84 and 7,211.70

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Solution

The fourth proportional to 11,191.50, 15,441.84 and 7,211.70 is: 9,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.50 : 15,441.84 = 7,211.70 : x
  2. Step 2: Convert to fraction form
    11,191.50/15,441.84 = 7,211.70/x
  3. Step 3: Cross multiply
    11,191.50x = 15,441.84 × 7,211.70
  4. Step 4: Simplify right side
    11,191.50x = 111,361,917.53
  5. Step 5: Solve for x
    x = 111,361,917.53/11,191.50
  6. Step 6: Final answer
    x = 9,950.58

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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.