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Finding the Fourth Proportional to 5,992.11, 9,001.13 and 5,069.52

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Solution

The fourth proportional to 5,992.11, 9,001.13 and 5,069.52 is: 7,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.11 : 9,001.13 = 5,069.52 : x
  2. Step 2: Convert to fraction form
    5,992.11/9,001.13 = 5,069.52/x
  3. Step 3: Cross multiply
    5,992.11x = 9,001.13 × 5,069.52
  4. Step 4: Simplify right side
    5,992.11x = 45,631,383.21
  5. Step 5: Solve for x
    x = 45,631,383.21/5,992.11
  6. Step 6: Final answer
    x = 7,615.24

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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.