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Finding the Fourth Proportional to 11,595.98, 15,997.20 and 7,118.09

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Solution

The fourth proportional to 11,595.98, 15,997.20 and 7,118.09 is: 9,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.98 : 15,997.20 = 7,118.09 : x
  2. Step 2: Convert to fraction form
    11,595.98/15,997.20 = 7,118.09/x
  3. Step 3: Cross multiply
    11,595.98x = 15,997.20 × 7,118.09
  4. Step 4: Simplify right side
    11,595.98x = 113,869,552.64
  5. Step 5: Solve for x
    x = 113,869,552.64/11,595.98
  6. Step 6: Final answer
    x = 9,819.75

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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.