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Finding the Fourth Proportional to 8,034.68, 11,085.01 and 5,235.32

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Solution

The fourth proportional to 8,034.68, 11,085.01 and 5,235.32 is: 7,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.68 : 11,085.01 = 5,235.32 : x
  2. Step 2: Convert to fraction form
    8,034.68/11,085.01 = 5,235.32/x
  3. Step 3: Cross multiply
    8,034.68x = 11,085.01 × 5,235.32
  4. Step 4: Simplify right side
    8,034.68x = 58,033,548.38
  5. Step 5: Solve for x
    x = 58,033,548.38/8,034.68
  6. Step 6: Final answer
    x = 7,222.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.