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Finding the Fourth Proportional to 10,726.75, 16,071.36 and 7,441.93

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Solution

The fourth proportional to 10,726.75, 16,071.36 and 7,441.93 is: 11,149.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.75 : 16,071.36 = 7,441.93 : x
  2. Step 2: Convert to fraction form
    10,726.75/16,071.36 = 7,441.93/x
  3. Step 3: Cross multiply
    10,726.75x = 16,071.36 × 7,441.93
  4. Step 4: Simplify right side
    10,726.75x = 119,601,936.12
  5. Step 5: Solve for x
    x = 119,601,936.12/10,726.75
  6. Step 6: Final answer
    x = 11,149.88

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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.