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Finding the Fourth Proportional to 10,201.32, 14,078.54 and 5,664.24

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Solution

The fourth proportional to 10,201.32, 14,078.54 and 5,664.24 is: 7,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.32 : 14,078.54 = 5,664.24 : x
  2. Step 2: Convert to fraction form
    10,201.32/14,078.54 = 5,664.24/x
  3. Step 3: Cross multiply
    10,201.32x = 14,078.54 × 5,664.24
  4. Step 4: Simplify right side
    10,201.32x = 79,744,229.41
  5. Step 5: Solve for x
    x = 79,744,229.41/10,201.32
  6. Step 6: Final answer
    x = 7,817.05

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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.