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Finding the Fourth Proportional to 10,467.24, 14,444.43 and 5,751.24

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Solution

The fourth proportional to 10,467.24, 14,444.43 and 5,751.24 is: 7,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.24 : 14,444.43 = 5,751.24 : x
  2. Step 2: Convert to fraction form
    10,467.24/14,444.43 = 5,751.24/x
  3. Step 3: Cross multiply
    10,467.24x = 14,444.43 × 5,751.24
  4. Step 4: Simplify right side
    10,467.24x = 83,073,383.59
  5. Step 5: Solve for x
    x = 83,073,383.59/10,467.24
  6. Step 6: Final answer
    x = 7,936.51

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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.