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Finding the Fourth Proportional to 8,057.77, 11,119.82 and 4,472.80

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Solution

The fourth proportional to 8,057.77, 11,119.82 and 4,472.80 is: 6,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.77 : 11,119.82 = 4,472.80 : x
  2. Step 2: Convert to fraction form
    8,057.77/11,119.82 = 4,472.80/x
  3. Step 3: Cross multiply
    8,057.77x = 11,119.82 × 4,472.80
  4. Step 4: Simplify right side
    8,057.77x = 49,736,666.48
  5. Step 5: Solve for x
    x = 49,736,666.48/8,057.77
  6. Step 6: Final answer
    x = 6,172.51

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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.