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Finding the Fourth Proportional to 11,663.82, 16,095.60 and 6,358.32

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Solution

The fourth proportional to 11,663.82, 16,095.60 and 6,358.32 is: 8,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.82 : 16,095.60 = 6,358.32 : x
  2. Step 2: Convert to fraction form
    11,663.82/16,095.60 = 6,358.32/x
  3. Step 3: Cross multiply
    11,663.82x = 16,095.60 × 6,358.32
  4. Step 4: Simplify right side
    11,663.82x = 102,340,975.39
  5. Step 5: Solve for x
    x = 102,340,975.39/11,663.82
  6. Step 6: Final answer
    x = 8,774.22

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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.