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Finding the Fourth Proportional to 8,769.30, 12,098.49 and 5,183.51

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Solution

The fourth proportional to 8,769.30, 12,098.49 and 5,183.51 is: 7,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.30 : 12,098.49 = 5,183.51 : x
  2. Step 2: Convert to fraction form
    8,769.30/12,098.49 = 5,183.51/x
  3. Step 3: Cross multiply
    8,769.30x = 12,098.49 × 5,183.51
  4. Step 4: Simplify right side
    8,769.30x = 62,712,583.41
  5. Step 5: Solve for x
    x = 62,712,583.41/8,769.30
  6. Step 6: Final answer
    x = 7,151.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.