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Finding the Fourth Proportional to 11,715.74, 16,167.31 and 6,999.11

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Solution

The fourth proportional to 11,715.74, 16,167.31 and 6,999.11 is: 9,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.74 : 16,167.31 = 6,999.11 : x
  2. Step 2: Convert to fraction form
    11,715.74/16,167.31 = 6,999.11/x
  3. Step 3: Cross multiply
    11,715.74x = 16,167.31 × 6,999.11
  4. Step 4: Simplify right side
    11,715.74x = 113,156,804.01
  5. Step 5: Solve for x
    x = 113,156,804.01/11,715.74
  6. Step 6: Final answer
    x = 9,658.53

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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.