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Finding the Fourth Proportional to 10,227.64, 14,114.16 and 5,751.43

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Solution

The fourth proportional to 10,227.64, 14,114.16 and 5,751.43 is: 7,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.64 : 14,114.16 = 5,751.43 : x
  2. Step 2: Convert to fraction form
    10,227.64/14,114.16 = 5,751.43/x
  3. Step 3: Cross multiply
    10,227.64x = 14,114.16 × 5,751.43
  4. Step 4: Simplify right side
    10,227.64x = 81,176,603.25
  5. Step 5: Solve for x
    x = 81,176,603.25/10,227.64
  6. Step 6: Final answer
    x = 7,936.98

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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.