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Finding the Fourth Proportional to 11,635.74, 16,057.89 and 6,857.10

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Solution

The fourth proportional to 11,635.74, 16,057.89 and 6,857.10 is: 9,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.74 : 16,057.89 = 6,857.10 : x
  2. Step 2: Convert to fraction form
    11,635.74/16,057.89 = 6,857.10/x
  3. Step 3: Cross multiply
    11,635.74x = 16,057.89 × 6,857.10
  4. Step 4: Simplify right side
    11,635.74x = 110,110,557.52
  5. Step 5: Solve for x
    x = 110,110,557.52/11,635.74
  6. Step 6: Final answer
    x = 9,463.13

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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.