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Finding the Fourth Proportional to 10,571.92, 14,588.64 and 5,855.92

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Solution

The fourth proportional to 10,571.92, 14,588.64 and 5,855.92 is: 8,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.92 : 14,588.64 = 5,855.92 : x
  2. Step 2: Convert to fraction form
    10,571.92/14,588.64 = 5,855.92/x
  3. Step 3: Cross multiply
    10,571.92x = 14,588.64 × 5,855.92
  4. Step 4: Simplify right side
    10,571.92x = 85,429,908.75
  5. Step 5: Solve for x
    x = 85,429,908.75/10,571.92
  6. Step 6: Final answer
    x = 8,080.83

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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.