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Finding the Fourth Proportional to 8,006.14, 12,001.01 and 3,328.86

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Solution

The fourth proportional to 8,006.14, 12,001.01 and 3,328.86 is: 4,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.14 : 12,001.01 = 3,328.86 : x
  2. Step 2: Convert to fraction form
    8,006.14/12,001.01 = 3,328.86/x
  3. Step 3: Cross multiply
    8,006.14x = 12,001.01 × 3,328.86
  4. Step 4: Simplify right side
    8,006.14x = 39,949,695.51
  5. Step 5: Solve for x
    x = 39,949,695.51/8,006.14
  6. Step 6: Final answer
    x = 4,989.88

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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.