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Finding the Fourth Proportional to 10,806.37, 16,199.93 and 4,237.13

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Solution

The fourth proportional to 10,806.37, 16,199.93 and 4,237.13 is: 6,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.37 : 16,199.93 = 4,237.13 : x
  2. Step 2: Convert to fraction form
    10,806.37/16,199.93 = 4,237.13/x
  3. Step 3: Cross multiply
    10,806.37x = 16,199.93 × 4,237.13
  4. Step 4: Simplify right side
    10,806.37x = 68,641,260.49
  5. Step 5: Solve for x
    x = 68,641,260.49/10,806.37
  6. Step 6: Final answer
    x = 6,351.93

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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.