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Finding the Fourth Proportional to 11,808.69, 16,296.03 and 6,503.52

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Solution

The fourth proportional to 11,808.69, 16,296.03 and 6,503.52 is: 8,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.69 : 16,296.03 = 6,503.52 : x
  2. Step 2: Convert to fraction form
    11,808.69/16,296.03 = 6,503.52/x
  3. Step 3: Cross multiply
    11,808.69x = 16,296.03 × 6,503.52
  4. Step 4: Simplify right side
    11,808.69x = 105,981,557.03
  5. Step 5: Solve for x
    x = 105,981,557.03/11,808.69
  6. Step 6: Final answer
    x = 8,974.88

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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.