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Finding the Fourth Proportional to 7,911.69, 11,857.16 and 5,821.91

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Solution

The fourth proportional to 7,911.69, 11,857.16 and 5,821.91 is: 8,725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.69 : 11,857.16 = 5,821.91 : x
  2. Step 2: Convert to fraction form
    7,911.69/11,857.16 = 5,821.91/x
  3. Step 3: Cross multiply
    7,911.69x = 11,857.16 × 5,821.91
  4. Step 4: Simplify right side
    7,911.69x = 69,031,340.74
  5. Step 5: Solve for x
    x = 69,031,340.74/7,911.69
  6. Step 6: Final answer
    x = 8,725.23

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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.