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Finding the Fourth Proportional to 8,048.38, 11,102.63 and 4,859.91

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Solution

The fourth proportional to 8,048.38, 11,102.63 and 4,859.91 is: 6,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.38 : 11,102.63 = 4,859.91 : x
  2. Step 2: Convert to fraction form
    8,048.38/11,102.63 = 4,859.91/x
  3. Step 3: Cross multiply
    8,048.38x = 11,102.63 × 4,859.91
  4. Step 4: Simplify right side
    8,048.38x = 53,957,758.26
  5. Step 5: Solve for x
    x = 53,957,758.26/8,048.38
  6. Step 6: Final answer
    x = 6,704.18

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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.