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Finding the Fourth Proportional to 8,142, 11,238.06 and 5,000.82

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Solution

The fourth proportional to 8,142, 11,238.06 and 5,000.82 is: 6,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,238.06 = 5,000.82 : x
  2. Step 2: Convert to fraction form
    8,142/11,238.06 = 5,000.82/x
  3. Step 3: Cross multiply
    8,142x = 11,238.06 × 5,000.82
  4. Step 4: Simplify right side
    8,142x = 56,199,515.21
  5. Step 5: Solve for x
    x = 56,199,515.21/8,142
  6. Step 6: Final answer
    x = 6,902.42

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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.