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Finding the Fourth Proportional to 10,669.43, 14,727.85 and 8,024.48

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Solution

The fourth proportional to 10,669.43, 14,727.85 and 8,024.48 is: 11,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.43 : 14,727.85 = 8,024.48 : x
  2. Step 2: Convert to fraction form
    10,669.43/14,727.85 = 8,024.48/x
  3. Step 3: Cross multiply
    10,669.43x = 14,727.85 × 8,024.48
  4. Step 4: Simplify right side
    10,669.43x = 118,183,244.07
  5. Step 5: Solve for x
    x = 118,183,244.07/10,669.43
  6. Step 6: Final answer
    x = 11,076.81

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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.