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Finding the Fourth Proportional to 8,005.42, 12,008.31 and 6,363.10

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Solution

The fourth proportional to 8,005.42, 12,008.31 and 6,363.10 is: 9,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.42 : 12,008.31 = 6,363.10 : x
  2. Step 2: Convert to fraction form
    8,005.42/12,008.31 = 6,363.10/x
  3. Step 3: Cross multiply
    8,005.42x = 12,008.31 × 6,363.10
  4. Step 4: Simplify right side
    8,005.42x = 76,410,077.36
  5. Step 5: Solve for x
    x = 76,410,077.36/8,005.42
  6. Step 6: Final answer
    x = 9,544.79

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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.