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Finding the Fourth Proportional to 10,811.66, 16,219.16 and 4,571.69

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Solution

The fourth proportional to 10,811.66, 16,219.16 and 4,571.69 is: 6,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.66 : 16,219.16 = 4,571.69 : x
  2. Step 2: Convert to fraction form
    10,811.66/16,219.16 = 4,571.69/x
  3. Step 3: Cross multiply
    10,811.66x = 16,219.16 × 4,571.69
  4. Step 4: Simplify right side
    10,811.66x = 74,148,867.63
  5. Step 5: Solve for x
    x = 74,148,867.63/10,811.66
  6. Step 6: Final answer
    x = 6,858.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.