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Finding the Fourth Proportional to 11,663.72, 16,096.28 and 6,358.62

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Solution

The fourth proportional to 11,663.72, 16,096.28 and 6,358.62 is: 8,775.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.72 : 16,096.28 = 6,358.62 : x
  2. Step 2: Convert to fraction form
    11,663.72/16,096.28 = 6,358.62/x
  3. Step 3: Cross multiply
    11,663.72x = 16,096.28 × 6,358.62
  4. Step 4: Simplify right side
    11,663.72x = 102,350,127.93
  5. Step 5: Solve for x
    x = 102,350,127.93/11,663.72
  6. Step 6: Final answer
    x = 8,775.08

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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.