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Finding the Fourth Proportional to 8,728.49, 13,092.81 and 2,488.50

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Solution

The fourth proportional to 8,728.49, 13,092.81 and 2,488.50 is: 3,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.49 : 13,092.81 = 2,488.50 : x
  2. Step 2: Convert to fraction form
    8,728.49/13,092.81 = 2,488.50/x
  3. Step 3: Cross multiply
    8,728.49x = 13,092.81 × 2,488.50
  4. Step 4: Simplify right side
    8,728.49x = 32,581,457.69
  5. Step 5: Solve for x
    x = 32,581,457.69/8,728.49
  6. Step 6: Final answer
    x = 3,732.77

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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.