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Finding the Fourth Proportional to 7,962.83, 10,991.76 and 5,309.27

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Solution

The fourth proportional to 7,962.83, 10,991.76 and 5,309.27 is: 7,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.83 : 10,991.76 = 5,309.27 : x
  2. Step 2: Convert to fraction form
    7,962.83/10,991.76 = 5,309.27/x
  3. Step 3: Cross multiply
    7,962.83x = 10,991.76 × 5,309.27
  4. Step 4: Simplify right side
    7,962.83x = 58,358,221.62
  5. Step 5: Solve for x
    x = 58,358,221.62/7,962.83
  6. Step 6: Final answer
    x = 7,328.83

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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.