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Finding the Fourth Proportional to 6,952.30, 10,422.11 and 3,001.09

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Solution

The fourth proportional to 6,952.30, 10,422.11 and 3,001.09 is: 4,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.30 : 10,422.11 = 3,001.09 : x
  2. Step 2: Convert to fraction form
    6,952.30/10,422.11 = 3,001.09/x
  3. Step 3: Cross multiply
    6,952.30x = 10,422.11 × 3,001.09
  4. Step 4: Simplify right side
    6,952.30x = 31,277,649.04
  5. Step 5: Solve for x
    x = 31,277,649.04/6,952.30
  6. Step 6: Final answer
    x = 4,498.89

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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.