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Finding the Fourth Proportional to 8,269.05, 12,403.49 and 2,029

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Solution

The fourth proportional to 8,269.05, 12,403.49 and 2,029 is: 3,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.05 : 12,403.49 = 2,029 : x
  2. Step 2: Convert to fraction form
    8,269.05/12,403.49 = 2,029/x
  3. Step 3: Cross multiply
    8,269.05x = 12,403.49 × 2,029
  4. Step 4: Simplify right side
    8,269.05x = 25,166,681.21
  5. Step 5: Solve for x
    x = 25,166,681.21/8,269.05
  6. Step 6: Final answer
    x = 3,043.48

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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.