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Finding the Fourth Proportional to 10,806.14, 14,890.26 and 8,288.12

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Solution

The fourth proportional to 10,806.14, 14,890.26 and 8,288.12 is: 11,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.14 : 14,890.26 = 8,288.12 : x
  2. Step 2: Convert to fraction form
    10,806.14/14,890.26 = 8,288.12/x
  3. Step 3: Cross multiply
    10,806.14x = 14,890.26 × 8,288.12
  4. Step 4: Simplify right side
    10,806.14x = 123,412,261.71
  5. Step 5: Solve for x
    x = 123,412,261.71/10,806.14
  6. Step 6: Final answer
    x = 11,420.57

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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.