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Finding the Fourth Proportional to 11,635.86, 16,057.53 and 6,330.63

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Solution

The fourth proportional to 11,635.86, 16,057.53 and 6,330.63 is: 8,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.86 : 16,057.53 = 6,330.63 : x
  2. Step 2: Convert to fraction form
    11,635.86/16,057.53 = 6,330.63/x
  3. Step 3: Cross multiply
    11,635.86x = 16,057.53 × 6,330.63
  4. Step 4: Simplify right side
    11,635.86x = 101,654,281.14
  5. Step 5: Solve for x
    x = 101,654,281.14/11,635.86
  6. Step 6: Final answer
    x = 8,736.29

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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.