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Finding the Fourth Proportional to 11,593.64, 15,999.44 and 7,115.15

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Solution

The fourth proportional to 11,593.64, 15,999.44 and 7,115.15 is: 9,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.64 : 15,999.44 = 7,115.15 : x
  2. Step 2: Convert to fraction form
    11,593.64/15,999.44 = 7,115.15/x
  3. Step 3: Cross multiply
    11,593.64x = 15,999.44 × 7,115.15
  4. Step 4: Simplify right side
    11,593.64x = 113,838,415.52
  5. Step 5: Solve for x
    x = 113,838,415.52/11,593.64
  6. Step 6: Final answer
    x = 9,819.04

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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.