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Finding the Fourth Proportional to 8,011.52, 12,000.96 and 6,536

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Solution

The fourth proportional to 8,011.52, 12,000.96 and 6,536 is: 9,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.52 : 12,000.96 = 6,536 : x
  2. Step 2: Convert to fraction form
    8,011.52/12,000.96 = 6,536/x
  3. Step 3: Cross multiply
    8,011.52x = 12,000.96 × 6,536
  4. Step 4: Simplify right side
    8,011.52x = 78,438,274.56
  5. Step 5: Solve for x
    x = 78,438,274.56/8,011.52
  6. Step 6: Final answer
    x = 9,790.69

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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.