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Finding the Fourth Proportional to 8,031, 12,052.98 and 4,136.52

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Solution

The fourth proportional to 8,031, 12,052.98 and 4,136.52 is: 6,208.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031 : 12,052.98 = 4,136.52 : x
  2. Step 2: Convert to fraction form
    8,031/12,052.98 = 4,136.52/x
  3. Step 3: Cross multiply
    8,031x = 12,052.98 × 4,136.52
  4. Step 4: Simplify right side
    8,031x = 49,857,392.83
  5. Step 5: Solve for x
    x = 49,857,392.83/8,031
  6. Step 6: Final answer
    x = 6,208.12

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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.