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Finding the Fourth Proportional to 11,856.29, 16,363.67 and 8,026.18

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Solution

The fourth proportional to 11,856.29, 16,363.67 and 8,026.18 is: 11,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.29 : 16,363.67 = 8,026.18 : x
  2. Step 2: Convert to fraction form
    11,856.29/16,363.67 = 8,026.18/x
  3. Step 3: Cross multiply
    11,856.29x = 16,363.67 × 8,026.18
  4. Step 4: Simplify right side
    11,856.29x = 131,337,679.84
  5. Step 5: Solve for x
    x = 131,337,679.84/11,856.29
  6. Step 6: Final answer
    x = 11,077.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.