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Finding the Fourth Proportional to 26,565.42, 39,843.66 and 7,845.10

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Solution

The fourth proportional to 26,565.42, 39,843.66 and 7,845.10 is: 11,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565.42 : 39,843.66 = 7,845.10 : x
  2. Step 2: Convert to fraction form
    26,565.42/39,843.66 = 7,845.10/x
  3. Step 3: Cross multiply
    26,565.42x = 39,843.66 × 7,845.10
  4. Step 4: Simplify right side
    26,565.42x = 312,577,497.07
  5. Step 5: Solve for x
    x = 312,577,497.07/26,565.42
  6. Step 6: Final answer
    x = 11,766.33

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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.