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Finding the Fourth Proportional to 11,107.96, 15,323.22 and 7,523.02

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Solution

The fourth proportional to 11,107.96, 15,323.22 and 7,523.02 is: 10,377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.96 : 15,323.22 = 7,523.02 : x
  2. Step 2: Convert to fraction form
    11,107.96/15,323.22 = 7,523.02/x
  3. Step 3: Cross multiply
    11,107.96x = 15,323.22 × 7,523.02
  4. Step 4: Simplify right side
    11,107.96x = 115,276,890.52
  5. Step 5: Solve for x
    x = 115,276,890.52/11,107.96
  6. Step 6: Final answer
    x = 10,377.86

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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.