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Finding the Fourth Proportional to 10,815.14, 16,232.74 and 6,663.26

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Solution

The fourth proportional to 10,815.14, 16,232.74 and 6,663.26 is: 10,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.14 : 16,232.74 = 6,663.26 : x
  2. Step 2: Convert to fraction form
    10,815.14/16,232.74 = 6,663.26/x
  3. Step 3: Cross multiply
    10,815.14x = 16,232.74 × 6,663.26
  4. Step 4: Simplify right side
    10,815.14x = 108,162,991.06
  5. Step 5: Solve for x
    x = 108,162,991.06/10,815.14
  6. Step 6: Final answer
    x = 10,001.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.