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Finding the Fourth Proportional to 10,116.60, 13,960.64 and 5,867.39

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Solution

The fourth proportional to 10,116.60, 13,960.64 and 5,867.39 is: 8,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.60 : 13,960.64 = 5,867.39 : x
  2. Step 2: Convert to fraction form
    10,116.60/13,960.64 = 5,867.39/x
  3. Step 3: Cross multiply
    10,116.60x = 13,960.64 × 5,867.39
  4. Step 4: Simplify right side
    10,116.60x = 81,912,525.09
  5. Step 5: Solve for x
    x = 81,912,525.09/10,116.60
  6. Step 6: Final answer
    x = 8,096.84

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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.