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Finding the Fourth Proportional to 27,065.88, 40,594.02 and 7,345.97

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Solution

The fourth proportional to 27,065.88, 40,594.02 and 7,345.97 is: 11,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.88 : 40,594.02 = 7,345.97 : x
  2. Step 2: Convert to fraction form
    27,065.88/40,594.02 = 7,345.97/x
  3. Step 3: Cross multiply
    27,065.88x = 40,594.02 × 7,345.97
  4. Step 4: Simplify right side
    27,065.88x = 298,202,250.13
  5. Step 5: Solve for x
    x = 298,202,250.13/27,065.88
  6. Step 6: Final answer
    x = 11,017.65

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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.