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Finding the Fourth Proportional to 7,338.68, 11,002.98 and 3,878.36

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Solution

The fourth proportional to 7,338.68, 11,002.98 and 3,878.36 is: 5,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.68 : 11,002.98 = 3,878.36 : x
  2. Step 2: Convert to fraction form
    7,338.68/11,002.98 = 3,878.36/x
  3. Step 3: Cross multiply
    7,338.68x = 11,002.98 × 3,878.36
  4. Step 4: Simplify right side
    7,338.68x = 42,673,517.51
  5. Step 5: Solve for x
    x = 42,673,517.51/7,338.68
  6. Step 6: Final answer
    x = 5,814.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.