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Finding the Fourth Proportional to 8,168.44, 12,242.32 and 4,007.46

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Solution

The fourth proportional to 8,168.44, 12,242.32 and 4,007.46 is: 6,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.44 : 12,242.32 = 4,007.46 : x
  2. Step 2: Convert to fraction form
    8,168.44/12,242.32 = 4,007.46/x
  3. Step 3: Cross multiply
    8,168.44x = 12,242.32 × 4,007.46
  4. Step 4: Simplify right side
    8,168.44x = 49,060,607.71
  5. Step 5: Solve for x
    x = 49,060,607.71/8,168.44
  6. Step 6: Final answer
    x = 6,006.12

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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.