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Finding the Fourth Proportional to 27,645.66, 41,468.78 and 6,869.16

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Solution

The fourth proportional to 27,645.66, 41,468.78 and 6,869.16 is: 10,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.66 : 41,468.78 = 6,869.16 : x
  2. Step 2: Convert to fraction form
    27,645.66/41,468.78 = 6,869.16/x
  3. Step 3: Cross multiply
    27,645.66x = 41,468.78 × 6,869.16
  4. Step 4: Simplify right side
    27,645.66x = 284,855,650.48
  5. Step 5: Solve for x
    x = 284,855,650.48/27,645.66
  6. Step 6: Final answer
    x = 10,303.81

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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.