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Finding the Fourth Proportional to 10,227.84, 14,114.16 and 5,751.42

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Solution

The fourth proportional to 10,227.84, 14,114.16 and 5,751.42 is: 7,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.84 : 14,114.16 = 5,751.42 : x
  2. Step 2: Convert to fraction form
    10,227.84/14,114.16 = 5,751.42/x
  3. Step 3: Cross multiply
    10,227.84x = 14,114.16 × 5,751.42
  4. Step 4: Simplify right side
    10,227.84x = 81,176,462.11
  5. Step 5: Solve for x
    x = 81,176,462.11/10,227.84
  6. Step 6: Final answer
    x = 7,936.81

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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.