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Finding the Fourth Proportional to 8,006.64, 12,009.95 and 2,163.40

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Solution

The fourth proportional to 8,006.64, 12,009.95 and 2,163.40 is: 3,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.64 : 12,009.95 = 2,163.40 : x
  2. Step 2: Convert to fraction form
    8,006.64/12,009.95 = 2,163.40/x
  3. Step 3: Cross multiply
    8,006.64x = 12,009.95 × 2,163.40
  4. Step 4: Simplify right side
    8,006.64x = 25,982,325.83
  5. Step 5: Solve for x
    x = 25,982,325.83/8,006.64
  6. Step 6: Final answer
    x = 3,245.10

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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.