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Finding the Fourth Proportional to 11,102.14, 15,321.18 and 6,066.46

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Solution

The fourth proportional to 11,102.14, 15,321.18 and 6,066.46 is: 8,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.14 : 15,321.18 = 6,066.46 : x
  2. Step 2: Convert to fraction form
    11,102.14/15,321.18 = 6,066.46/x
  3. Step 3: Cross multiply
    11,102.14x = 15,321.18 × 6,066.46
  4. Step 4: Simplify right side
    11,102.14x = 92,945,325.62
  5. Step 5: Solve for x
    x = 92,945,325.62/11,102.14
  6. Step 6: Final answer
    x = 8,371.84

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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.