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Finding the Fourth Proportional to 11,886.60, 16,399.47 and 6,850.67

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Solution

The fourth proportional to 11,886.60, 16,399.47 and 6,850.67 is: 9,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.60 : 16,399.47 = 6,850.67 : x
  2. Step 2: Convert to fraction form
    11,886.60/16,399.47 = 6,850.67/x
  3. Step 3: Cross multiply
    11,886.60x = 16,399.47 × 6,850.67
  4. Step 4: Simplify right side
    11,886.60x = 112,347,275.15
  5. Step 5: Solve for x
    x = 112,347,275.15/11,886.60
  6. Step 6: Final answer
    x = 9,451.59

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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.