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Finding the Fourth Proportional to 8,317.50, 12,473.56 and 2,769.36

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Solution

The fourth proportional to 8,317.50, 12,473.56 and 2,769.36 is: 4,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.50 : 12,473.56 = 2,769.36 : x
  2. Step 2: Convert to fraction form
    8,317.50/12,473.56 = 2,769.36/x
  3. Step 3: Cross multiply
    8,317.50x = 12,473.56 × 2,769.36
  4. Step 4: Simplify right side
    8,317.50x = 34,543,778.12
  5. Step 5: Solve for x
    x = 34,543,778.12/8,317.50
  6. Step 6: Final answer
    x = 4,153.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.