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Finding the Fourth Proportional to 11,663.89, 16,096.07 and 6,358.60

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Solution

The fourth proportional to 11,663.89, 16,096.07 and 6,358.60 is: 8,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.89 : 16,096.07 = 6,358.60 : x
  2. Step 2: Convert to fraction form
    11,663.89/16,096.07 = 6,358.60/x
  3. Step 3: Cross multiply
    11,663.89x = 16,096.07 × 6,358.60
  4. Step 4: Simplify right side
    11,663.89x = 102,348,470.70
  5. Step 5: Solve for x
    x = 102,348,470.70/11,663.89
  6. Step 6: Final answer
    x = 8,774.81

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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.