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Finding the Fourth Proportional to 10,201.75, 14,078.23 and 5,725.15

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Solution

The fourth proportional to 10,201.75, 14,078.23 and 5,725.15 is: 7,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.75 : 14,078.23 = 5,725.15 : x
  2. Step 2: Convert to fraction form
    10,201.75/14,078.23 = 5,725.15/x
  3. Step 3: Cross multiply
    10,201.75x = 14,078.23 × 5,725.15
  4. Step 4: Simplify right side
    10,201.75x = 80,599,978.48
  5. Step 5: Solve for x
    x = 80,599,978.48/10,201.75
  6. Step 6: Final answer
    x = 7,900.60

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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.