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Finding the Fourth Proportional to 10,201.31, 14,078.07 and 5,725.41

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Solution

The fourth proportional to 10,201.31, 14,078.07 and 5,725.41 is: 7,901.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.31 : 14,078.07 = 5,725.41 : x
  2. Step 2: Convert to fraction form
    10,201.31/14,078.07 = 5,725.41/x
  3. Step 3: Cross multiply
    10,201.31x = 14,078.07 × 5,725.41
  4. Step 4: Simplify right side
    10,201.31x = 80,602,669.97
  5. Step 5: Solve for x
    x = 80,602,669.97/10,201.31
  6. Step 6: Final answer
    x = 7,901.20

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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.