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Finding the Fourth Proportional to 11,186.46, 15,414.57 and 8,653.19

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Solution

The fourth proportional to 11,186.46, 15,414.57 and 8,653.19 is: 11,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.46 : 15,414.57 = 8,653.19 : x
  2. Step 2: Convert to fraction form
    11,186.46/15,414.57 = 8,653.19/x
  3. Step 3: Cross multiply
    11,186.46x = 15,414.57 × 8,653.19
  4. Step 4: Simplify right side
    11,186.46x = 133,385,125.91
  5. Step 5: Solve for x
    x = 133,385,125.91/11,186.46
  6. Step 6: Final answer
    x = 11,923.80

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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.