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Finding the Fourth Proportional to 11,764.67, 16,228.11 and 6,981.47

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Solution

The fourth proportional to 11,764.67, 16,228.11 and 6,981.47 is: 9,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.67 : 16,228.11 = 6,981.47 : x
  2. Step 2: Convert to fraction form
    11,764.67/16,228.11 = 6,981.47/x
  3. Step 3: Cross multiply
    11,764.67x = 16,228.11 × 6,981.47
  4. Step 4: Simplify right side
    11,764.67x = 113,295,981.98
  5. Step 5: Solve for x
    x = 113,295,981.98/11,764.67
  6. Step 6: Final answer
    x = 9,630.19

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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.