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Finding the Fourth Proportional to 11,358.28, 17,031.66 and 5,197

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Solution

The fourth proportional to 11,358.28, 17,031.66 and 5,197 is: 7,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.28 : 17,031.66 = 5,197 : x
  2. Step 2: Convert to fraction form
    11,358.28/17,031.66 = 5,197/x
  3. Step 3: Cross multiply
    11,358.28x = 17,031.66 × 5,197
  4. Step 4: Simplify right side
    11,358.28x = 88,513,537.02
  5. Step 5: Solve for x
    x = 88,513,537.02/11,358.28
  6. Step 6: Final answer
    x = 7,792.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.