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Finding the Fourth Proportional to 11,856.60, 16,342.43 and 8,313.66

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Solution

The fourth proportional to 11,856.60, 16,342.43 and 8,313.66 is: 11,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.60 : 16,342.43 = 8,313.66 : x
  2. Step 2: Convert to fraction form
    11,856.60/16,342.43 = 8,313.66/x
  3. Step 3: Cross multiply
    11,856.60x = 16,342.43 × 8,313.66
  4. Step 4: Simplify right side
    11,856.60x = 135,865,365.03
  5. Step 5: Solve for x
    x = 135,865,365.03/11,856.60
  6. Step 6: Final answer
    x = 11,459.05

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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.