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Finding the Fourth Proportional to 8,006.42, 12,002.34 and 4,496.28

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Solution

The fourth proportional to 8,006.42, 12,002.34 and 4,496.28 is: 6,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.42 : 12,002.34 = 4,496.28 : x
  2. Step 2: Convert to fraction form
    8,006.42/12,002.34 = 4,496.28/x
  3. Step 3: Cross multiply
    8,006.42x = 12,002.34 × 4,496.28
  4. Step 4: Simplify right side
    8,006.42x = 53,965,881.30
  5. Step 5: Solve for x
    x = 53,965,881.30/8,006.42
  6. Step 6: Final answer
    x = 6,740.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.