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Finding the Fourth Proportional to 6,958.76, 10,427.89 and 5,101.18

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Solution

The fourth proportional to 6,958.76, 10,427.89 and 5,101.18 is: 7,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.76 : 10,427.89 = 5,101.18 : x
  2. Step 2: Convert to fraction form
    6,958.76/10,427.89 = 5,101.18/x
  3. Step 3: Cross multiply
    6,958.76x = 10,427.89 × 5,101.18
  4. Step 4: Simplify right side
    6,958.76x = 53,194,514.65
  5. Step 5: Solve for x
    x = 53,194,514.65/6,958.76
  6. Step 6: Final answer
    x = 7,644.25

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Why These Related Problems?

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