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Finding the Fourth Proportional to 10,011.31, 13,816 and 6,648.33

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Solution

The fourth proportional to 10,011.31, 13,816 and 6,648.33 is: 9,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.31 : 13,816 = 6,648.33 : x
  2. Step 2: Convert to fraction form
    10,011.31/13,816 = 6,648.33/x
  3. Step 3: Cross multiply
    10,011.31x = 13,816 × 6,648.33
  4. Step 4: Simplify right side
    10,011.31x = 91,853,327.28
  5. Step 5: Solve for x
    x = 91,853,327.28/10,011.31
  6. Step 6: Final answer
    x = 9,174.96

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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.