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Finding the Fourth Proportional to 10,201.94, 14,078.64 and 5,725.68

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Solution

The fourth proportional to 10,201.94, 14,078.64 and 5,725.68 is: 7,901.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.94 : 14,078.64 = 5,725.68 : x
  2. Step 2: Convert to fraction form
    10,201.94/14,078.64 = 5,725.68/x
  3. Step 3: Cross multiply
    10,201.94x = 14,078.64 × 5,725.68
  4. Step 4: Simplify right side
    10,201.94x = 80,609,787.48
  5. Step 5: Solve for x
    x = 80,609,787.48/10,201.94
  6. Step 6: Final answer
    x = 7,901.42

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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.