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Finding the Fourth Proportional to 11,856.83, 16,363.24 and 6,551.53

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Solution

The fourth proportional to 11,856.83, 16,363.24 and 6,551.53 is: 9,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.83 : 16,363.24 = 6,551.53 : x
  2. Step 2: Convert to fraction form
    11,856.83/16,363.24 = 6,551.53/x
  3. Step 3: Cross multiply
    11,856.83x = 16,363.24 × 6,551.53
  4. Step 4: Simplify right side
    11,856.83x = 107,204,175.94
  5. Step 5: Solve for x
    x = 107,204,175.94/11,856.83
  6. Step 6: Final answer
    x = 9,041.56

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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.