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Finding the Fourth Proportional to 7,166.38, 9,889.27 and 3,979.88

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Solution

The fourth proportional to 7,166.38, 9,889.27 and 3,979.88 is: 5,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.38 : 9,889.27 = 3,979.88 : x
  2. Step 2: Convert to fraction form
    7,166.38/9,889.27 = 3,979.88/x
  3. Step 3: Cross multiply
    7,166.38x = 9,889.27 × 3,979.88
  4. Step 4: Simplify right side
    7,166.38x = 39,358,167.79
  5. Step 5: Solve for x
    x = 39,358,167.79/7,166.38
  6. Step 6: Final answer
    x = 5,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.