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Finding the Fourth Proportional to 11,663.97, 16,095.99 and 6,358.68

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Solution

The fourth proportional to 11,663.97, 16,095.99 and 6,358.68 is: 8,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.97 : 16,095.99 = 6,358.68 : x
  2. Step 2: Convert to fraction form
    11,663.97/16,095.99 = 6,358.68/x
  3. Step 3: Cross multiply
    11,663.97x = 16,095.99 × 6,358.68
  4. Step 4: Simplify right side
    11,663.97x = 102,349,249.69
  5. Step 5: Solve for x
    x = 102,349,249.69/11,663.97
  6. Step 6: Final answer
    x = 8,774.82

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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.