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Finding the Fourth Proportional to 10,804.14, 16,206.23 and 7,122.81

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Solution

The fourth proportional to 10,804.14, 16,206.23 and 7,122.81 is: 10,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.14 : 16,206.23 = 7,122.81 : x
  2. Step 2: Convert to fraction form
    10,804.14/16,206.23 = 7,122.81/x
  3. Step 3: Cross multiply
    10,804.14x = 16,206.23 × 7,122.81
  4. Step 4: Simplify right side
    10,804.14x = 115,433,861.49
  5. Step 5: Solve for x
    x = 115,433,861.49/10,804.14
  6. Step 6: Final answer
    x = 10,684.22

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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.