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Finding the Fourth Proportional to 11,100.16, 15,311.19 and 8,441.74

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Solution

The fourth proportional to 11,100.16, 15,311.19 and 8,441.74 is: 11,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100.16 : 15,311.19 = 8,441.74 : x
  2. Step 2: Convert to fraction form
    11,100.16/15,311.19 = 8,441.74/x
  3. Step 3: Cross multiply
    11,100.16x = 15,311.19 × 8,441.74
  4. Step 4: Simplify right side
    11,100.16x = 129,253,085.07
  5. Step 5: Solve for x
    x = 129,253,085.07/11,100.16
  6. Step 6: Final answer
    x = 11,644.25

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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.