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Finding the Fourth Proportional to 10,579.94, 14,600.86 and 5,864.12

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Solution

The fourth proportional to 10,579.94, 14,600.86 and 5,864.12 is: 8,092.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.94 : 14,600.86 = 5,864.12 : x
  2. Step 2: Convert to fraction form
    10,579.94/14,600.86 = 5,864.12/x
  3. Step 3: Cross multiply
    10,579.94x = 14,600.86 × 5,864.12
  4. Step 4: Simplify right side
    10,579.94x = 85,621,195.14
  5. Step 5: Solve for x
    x = 85,621,195.14/10,579.94
  6. Step 6: Final answer
    x = 8,092.79

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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.