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Finding the Fourth Proportional to 11,525.91, 15,874.70 and 9,951.27

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Solution

The fourth proportional to 11,525.91, 15,874.70 and 9,951.27 is: 13,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.91 : 15,874.70 = 9,951.27 : x
  2. Step 2: Convert to fraction form
    11,525.91/15,874.70 = 9,951.27/x
  3. Step 3: Cross multiply
    11,525.91x = 15,874.70 × 9,951.27
  4. Step 4: Simplify right side
    11,525.91x = 157,973,376.11
  5. Step 5: Solve for x
    x = 157,973,376.11/11,525.91
  6. Step 6: Final answer
    x = 13,705.94

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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.