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Finding the Fourth Proportional to 10,469.16, 14,447.69 and 5,753.54

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Solution

The fourth proportional to 10,469.16, 14,447.69 and 5,753.54 is: 7,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.16 : 14,447.69 = 5,753.54 : x
  2. Step 2: Convert to fraction form
    10,469.16/14,447.69 = 5,753.54/x
  3. Step 3: Cross multiply
    10,469.16x = 14,447.69 × 5,753.54
  4. Step 4: Simplify right side
    10,469.16x = 83,125,261.32
  5. Step 5: Solve for x
    x = 83,125,261.32/10,469.16
  6. Step 6: Final answer
    x = 7,940.01

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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.