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Finding the Fourth Proportional to 8,120.68, 11,214.28 and 7,678.41

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Solution

The fourth proportional to 8,120.68, 11,214.28 and 7,678.41 is: 10,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.68 : 11,214.28 = 7,678.41 : x
  2. Step 2: Convert to fraction form
    8,120.68/11,214.28 = 7,678.41/x
  3. Step 3: Cross multiply
    8,120.68x = 11,214.28 × 7,678.41
  4. Step 4: Simplify right side
    8,120.68x = 86,107,839.69
  5. Step 5: Solve for x
    x = 86,107,839.69/8,120.68
  6. Step 6: Final answer
    x = 10,603.53

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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.