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Finding the Fourth Proportional to 8,200.64, 12,301.85 and 3,006.52

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Solution

The fourth proportional to 8,200.64, 12,301.85 and 3,006.52 is: 4,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,301.85 = 3,006.52 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,301.85 = 3,006.52/x
  3. Step 3: Cross multiply
    8,200.64x = 12,301.85 × 3,006.52
  4. Step 4: Simplify right side
    8,200.64x = 36,985,734.82
  5. Step 5: Solve for x
    x = 36,985,734.82/8,200.64
  6. Step 6: Final answer
    x = 4,510.10

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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.