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Finding the Fourth Proportional to 8,033.47, 12,029.24 and 6,464.90

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Solution

The fourth proportional to 8,033.47, 12,029.24 and 6,464.90 is: 9,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.47 : 12,029.24 = 6,464.90 : x
  2. Step 2: Convert to fraction form
    8,033.47/12,029.24 = 6,464.90/x
  3. Step 3: Cross multiply
    8,033.47x = 12,029.24 × 6,464.90
  4. Step 4: Simplify right side
    8,033.47x = 77,767,879.91
  5. Step 5: Solve for x
    x = 77,767,879.91/8,033.47
  6. Step 6: Final answer
    x = 9,680.49

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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.