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Finding the Fourth Proportional to 11,717.87, 16,170.89 and 7,002.14

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Solution

The fourth proportional to 11,717.87, 16,170.89 and 7,002.14 is: 9,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.87 : 16,170.89 = 7,002.14 : x
  2. Step 2: Convert to fraction form
    11,717.87/16,170.89 = 7,002.14/x
  3. Step 3: Cross multiply
    11,717.87x = 16,170.89 × 7,002.14
  4. Step 4: Simplify right side
    11,717.87x = 113,230,719.84
  5. Step 5: Solve for x
    x = 113,230,719.84/11,717.87
  6. Step 6: Final answer
    x = 9,663.08

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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.