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Finding the Fourth Proportional to 10,085.31, 13,906.08 and 7,533.81

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Solution

The fourth proportional to 10,085.31, 13,906.08 and 7,533.81 is: 10,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.31 : 13,906.08 = 7,533.81 : x
  2. Step 2: Convert to fraction form
    10,085.31/13,906.08 = 7,533.81/x
  3. Step 3: Cross multiply
    10,085.31x = 13,906.08 × 7,533.81
  4. Step 4: Simplify right side
    10,085.31x = 104,765,764.56
  5. Step 5: Solve for x
    x = 104,765,764.56/10,085.31
  6. Step 6: Final answer
    x = 10,387.96

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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.