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Finding the Fourth Proportional to 10,059.85, 13,896.12 and 7,731.10

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Solution

The fourth proportional to 10,059.85, 13,896.12 and 7,731.10 is: 10,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.85 : 13,896.12 = 7,731.10 : x
  2. Step 2: Convert to fraction form
    10,059.85/13,896.12 = 7,731.10/x
  3. Step 3: Cross multiply
    10,059.85x = 13,896.12 × 7,731.10
  4. Step 4: Simplify right side
    10,059.85x = 107,432,293.33
  5. Step 5: Solve for x
    x = 107,432,293.33/10,059.85
  6. Step 6: Final answer
    x = 10,679.31

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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.