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Finding the Fourth Proportional to 27,380.43, 41,070.69 and 7,658.91

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Solution

The fourth proportional to 27,380.43, 41,070.69 and 7,658.91 is: 11,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.43 : 41,070.69 = 7,658.91 : x
  2. Step 2: Convert to fraction form
    27,380.43/41,070.69 = 7,658.91/x
  3. Step 3: Cross multiply
    27,380.43x = 41,070.69 × 7,658.91
  4. Step 4: Simplify right side
    27,380.43x = 314,556,718.35
  5. Step 5: Solve for x
    x = 314,556,718.35/27,380.43
  6. Step 6: Final answer
    x = 11,488.38

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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.