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Finding the Fourth Proportional to 8,127.48, 12,189.04 and 3,747

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Solution

The fourth proportional to 8,127.48, 12,189.04 and 3,747 is: 5,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.48 : 12,189.04 = 3,747 : x
  2. Step 2: Convert to fraction form
    8,127.48/12,189.04 = 3,747/x
  3. Step 3: Cross multiply
    8,127.48x = 12,189.04 × 3,747
  4. Step 4: Simplify right side
    8,127.48x = 45,672,332.88
  5. Step 5: Solve for x
    x = 45,672,332.88/8,127.48
  6. Step 6: Final answer
    x = 5,619.49

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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.