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Finding the Fourth Proportional to 11,005.48, 16,486.92 and 6,847.12

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Solution

The fourth proportional to 11,005.48, 16,486.92 and 6,847.12 is: 10,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.48 : 16,486.92 = 6,847.12 : x
  2. Step 2: Convert to fraction form
    11,005.48/16,486.92 = 6,847.12/x
  3. Step 3: Cross multiply
    11,005.48x = 16,486.92 × 6,847.12
  4. Step 4: Simplify right side
    11,005.48x = 112,887,919.67
  5. Step 5: Solve for x
    x = 112,887,919.67/11,005.48
  6. Step 6: Final answer
    x = 10,257.43

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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.