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Finding the Fourth Proportional to 10,469.64, 14,448.06 and 5,754.12

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Solution

The fourth proportional to 10,469.64, 14,448.06 and 5,754.12 is: 7,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.64 : 14,448.06 = 5,754.12 : x
  2. Step 2: Convert to fraction form
    10,469.64/14,448.06 = 5,754.12/x
  3. Step 3: Cross multiply
    10,469.64x = 14,448.06 × 5,754.12
  4. Step 4: Simplify right side
    10,469.64x = 83,135,871.01
  5. Step 5: Solve for x
    x = 83,135,871.01/10,469.64
  6. Step 6: Final answer
    x = 7,940.66

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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.