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Finding the Fourth Proportional to 10,722.81, 16,084.23 and 4,881.09

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Solution

The fourth proportional to 10,722.81, 16,084.23 and 4,881.09 is: 7,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.81 : 16,084.23 = 4,881.09 : x
  2. Step 2: Convert to fraction form
    10,722.81/16,084.23 = 4,881.09/x
  3. Step 3: Cross multiply
    10,722.81x = 16,084.23 × 4,881.09
  4. Step 4: Simplify right side
    10,722.81x = 78,508,574.21
  5. Step 5: Solve for x
    x = 78,508,574.21/10,722.81
  6. Step 6: Final answer
    x = 7,321.64

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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.