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Finding the Fourth Proportional to 8,253.30, 11,391.78 and 5,107.74

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Solution

The fourth proportional to 8,253.30, 11,391.78 and 5,107.74 is: 7,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.30 : 11,391.78 = 5,107.74 : x
  2. Step 2: Convert to fraction form
    8,253.30/11,391.78 = 5,107.74/x
  3. Step 3: Cross multiply
    8,253.30x = 11,391.78 × 5,107.74
  4. Step 4: Simplify right side
    8,253.30x = 58,186,250.38
  5. Step 5: Solve for x
    x = 58,186,250.38/8,253.30
  6. Step 6: Final answer
    x = 7,050.06

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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.