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Finding the Fourth Proportional to 8,200.16, 12,302.04 and 3,005.90

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Solution

The fourth proportional to 8,200.16, 12,302.04 and 3,005.90 is: 4,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.16 : 12,302.04 = 3,005.90 : x
  2. Step 2: Convert to fraction form
    8,200.16/12,302.04 = 3,005.90/x
  3. Step 3: Cross multiply
    8,200.16x = 12,302.04 × 3,005.90
  4. Step 4: Simplify right side
    8,200.16x = 36,978,702.04
  5. Step 5: Solve for x
    x = 36,978,702.04/8,200.16
  6. Step 6: Final answer
    x = 4,509.51

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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.