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Finding the Fourth Proportional to 7,969.29, 11,006.80 and 5,312.09

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Solution

The fourth proportional to 7,969.29, 11,006.80 and 5,312.09 is: 7,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.29 : 11,006.80 = 5,312.09 : x
  2. Step 2: Convert to fraction form
    7,969.29/11,006.80 = 5,312.09/x
  3. Step 3: Cross multiply
    7,969.29x = 11,006.80 × 5,312.09
  4. Step 4: Simplify right side
    7,969.29x = 58,469,030.62
  5. Step 5: Solve for x
    x = 58,469,030.62/7,969.29
  6. Step 6: Final answer
    x = 7,336.79

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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.