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Finding the Fourth Proportional to 10,801.92, 14,906.52 and 6,087

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Solution

The fourth proportional to 10,801.92, 14,906.52 and 6,087 is: 8,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.92 : 14,906.52 = 6,087 : x
  2. Step 2: Convert to fraction form
    10,801.92/14,906.52 = 6,087/x
  3. Step 3: Cross multiply
    10,801.92x = 14,906.52 × 6,087
  4. Step 4: Simplify right side
    10,801.92x = 90,735,987.24
  5. Step 5: Solve for x
    x = 90,735,987.24/10,801.92
  6. Step 6: Final answer
    x = 8,399.99

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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.