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Finding the Fourth Proportional to 11,310.09, 16,956.75 and 6,866.82

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Solution

The fourth proportional to 11,310.09, 16,956.75 and 6,866.82 is: 10,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.09 : 16,956.75 = 6,866.82 : x
  2. Step 2: Convert to fraction form
    11,310.09/16,956.75 = 6,866.82/x
  3. Step 3: Cross multiply
    11,310.09x = 16,956.75 × 6,866.82
  4. Step 4: Simplify right side
    11,310.09x = 116,438,950.04
  5. Step 5: Solve for x
    x = 116,438,950.04/11,310.09
  6. Step 6: Final answer
    x = 10,295.14

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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.