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Finding the Fourth Proportional to 8,338.14, 11,504.84 and 5,314.41

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Solution

The fourth proportional to 8,338.14, 11,504.84 and 5,314.41 is: 7,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.14 : 11,504.84 = 5,314.41 : x
  2. Step 2: Convert to fraction form
    8,338.14/11,504.84 = 5,314.41/x
  3. Step 3: Cross multiply
    8,338.14x = 11,504.84 × 5,314.41
  4. Step 4: Simplify right side
    8,338.14x = 61,141,410.17
  5. Step 5: Solve for x
    x = 61,141,410.17/8,338.14
  6. Step 6: Final answer
    x = 7,332.74

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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.