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Finding the Fourth Proportional to 10,059.54, 13,883.82 and 5,867.78

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Solution

The fourth proportional to 10,059.54, 13,883.82 and 5,867.78 is: 8,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.54 : 13,883.82 = 5,867.78 : x
  2. Step 2: Convert to fraction form
    10,059.54/13,883.82 = 5,867.78/x
  3. Step 3: Cross multiply
    10,059.54x = 13,883.82 × 5,867.78
  4. Step 4: Simplify right side
    10,059.54x = 81,467,201.32
  5. Step 5: Solve for x
    x = 81,467,201.32/10,059.54
  6. Step 6: Final answer
    x = 8,098.50

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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.