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Finding the Fourth Proportional to 8,682.14, 11,981.39 and 5,145.14

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Solution

The fourth proportional to 8,682.14, 11,981.39 and 5,145.14 is: 7,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.14 : 11,981.39 = 5,145.14 : x
  2. Step 2: Convert to fraction form
    8,682.14/11,981.39 = 5,145.14/x
  3. Step 3: Cross multiply
    8,682.14x = 11,981.39 × 5,145.14
  4. Step 4: Simplify right side
    8,682.14x = 61,645,933.17
  5. Step 5: Solve for x
    x = 61,645,933.17/8,682.14
  6. Step 6: Final answer
    x = 7,100.31

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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.