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Finding the Fourth Proportional to 27,263.32, 40,886.28 and 8,791

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Solution

The fourth proportional to 27,263.32, 40,886.28 and 8,791 is: 13,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263.32 : 40,886.28 = 8,791 : x
  2. Step 2: Convert to fraction form
    27,263.32/40,886.28 = 8,791/x
  3. Step 3: Cross multiply
    27,263.32x = 40,886.28 × 8,791
  4. Step 4: Simplify right side
    27,263.32x = 359,431,287.48
  5. Step 5: Solve for x
    x = 359,431,287.48/27,263.32
  6. Step 6: Final answer
    x = 13,183.69

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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.