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Finding the Fourth Proportional to 11,593.70, 15,998.13 and 7,117.64

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Solution

The fourth proportional to 11,593.70, 15,998.13 and 7,117.64 is: 9,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.70 : 15,998.13 = 7,117.64 : x
  2. Step 2: Convert to fraction form
    11,593.70/15,998.13 = 7,117.64/x
  3. Step 3: Cross multiply
    11,593.70x = 15,998.13 × 7,117.64
  4. Step 4: Simplify right side
    11,593.70x = 113,868,930.01
  5. Step 5: Solve for x
    x = 113,868,930.01/11,593.70
  6. Step 6: Final answer
    x = 9,821.62

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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.