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Finding the Fourth Proportional to 10,201.68, 14,076.60 and 5,725.32

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Solution

The fourth proportional to 10,201.68, 14,076.60 and 5,725.32 is: 7,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.68 : 14,076.60 = 5,725.32 : x
  2. Step 2: Convert to fraction form
    10,201.68/14,076.60 = 5,725.32/x
  3. Step 3: Cross multiply
    10,201.68x = 14,076.60 × 5,725.32
  4. Step 4: Simplify right side
    10,201.68x = 80,593,039.51
  5. Step 5: Solve for x
    x = 80,593,039.51/10,201.68
  6. Step 6: Final answer
    x = 7,899.98

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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.