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Finding the Fourth Proportional to 8,214.70, 11,333.07 and 5,065.42

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Solution

The fourth proportional to 8,214.70, 11,333.07 and 5,065.42 is: 6,988.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.70 : 11,333.07 = 5,065.42 : x
  2. Step 2: Convert to fraction form
    8,214.70/11,333.07 = 5,065.42/x
  3. Step 3: Cross multiply
    8,214.70x = 11,333.07 × 5,065.42
  4. Step 4: Simplify right side
    8,214.70x = 57,406,759.44
  5. Step 5: Solve for x
    x = 57,406,759.44/8,214.70
  6. Step 6: Final answer
    x = 6,988.30

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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.