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Finding the Fourth Proportional to 8,212.70, 11,330.31 and 5,063.42

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Solution

The fourth proportional to 8,212.70, 11,330.31 and 5,063.42 is: 6,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.70 : 11,330.31 = 5,063.42 : x
  2. Step 2: Convert to fraction form
    8,212.70/11,330.31 = 5,063.42/x
  3. Step 3: Cross multiply
    8,212.70x = 11,330.31 × 5,063.42
  4. Step 4: Simplify right side
    8,212.70x = 57,370,118.26
  5. Step 5: Solve for x
    x = 57,370,118.26/8,212.70
  6. Step 6: Final answer
    x = 6,985.54

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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.