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Finding the Fourth Proportional to 11,689.74, 16,123.32 and 7,211.86

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Solution

The fourth proportional to 11,689.74, 16,123.32 and 7,211.86 is: 9,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.74 : 16,123.32 = 7,211.86 : x
  2. Step 2: Convert to fraction form
    11,689.74/16,123.32 = 7,211.86/x
  3. Step 3: Cross multiply
    11,689.74x = 16,123.32 × 7,211.86
  4. Step 4: Simplify right side
    11,689.74x = 116,279,086.27
  5. Step 5: Solve for x
    x = 116,279,086.27/11,689.74
  6. Step 6: Final answer
    x = 9,947.11

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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.