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Finding the Fourth Proportional to 10,231.23, 14,117.94 and 5,754.88

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Solution

The fourth proportional to 10,231.23, 14,117.94 and 5,754.88 is: 7,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.23 : 14,117.94 = 5,754.88 : x
  2. Step 2: Convert to fraction form
    10,231.23/14,117.94 = 5,754.88/x
  3. Step 3: Cross multiply
    10,231.23x = 14,117.94 × 5,754.88
  4. Step 4: Simplify right side
    10,231.23x = 81,247,089.78
  5. Step 5: Solve for x
    x = 81,247,089.78/10,231.23
  6. Step 6: Final answer
    x = 7,941.09

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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.