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Finding the Fourth Proportional to 8,003.64, 12,005.67 and 2,160.23

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Solution

The fourth proportional to 8,003.64, 12,005.67 and 2,160.23 is: 3,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.64 : 12,005.67 = 2,160.23 : x
  2. Step 2: Convert to fraction form
    8,003.64/12,005.67 = 2,160.23/x
  3. Step 3: Cross multiply
    8,003.64x = 12,005.67 × 2,160.23
  4. Step 4: Simplify right side
    8,003.64x = 25,935,008.50
  5. Step 5: Solve for x
    x = 25,935,008.50/8,003.64
  6. Step 6: Final answer
    x = 3,240.40

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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.