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Finding the Fourth Proportional to 10,571.88, 14,588.22 and 6,322.12

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Solution

The fourth proportional to 10,571.88, 14,588.22 and 6,322.12 is: 8,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.88 : 14,588.22 = 6,322.12 : x
  2. Step 2: Convert to fraction form
    10,571.88/14,588.22 = 6,322.12/x
  3. Step 3: Cross multiply
    10,571.88x = 14,588.22 × 6,322.12
  4. Step 4: Simplify right side
    10,571.88x = 92,228,477.43
  5. Step 5: Solve for x
    x = 92,228,477.43/10,571.88
  6. Step 6: Final answer
    x = 8,723.94

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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.