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Finding the Fourth Proportional to 8,048.70, 12,076.65 and 3,663.90

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Solution

The fourth proportional to 8,048.70, 12,076.65 and 3,663.90 is: 5,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.70 : 12,076.65 = 3,663.90 : x
  2. Step 2: Convert to fraction form
    8,048.70/12,076.65 = 3,663.90/x
  3. Step 3: Cross multiply
    8,048.70x = 12,076.65 × 3,663.90
  4. Step 4: Simplify right side
    8,048.70x = 44,247,637.94
  5. Step 5: Solve for x
    x = 44,247,637.94/8,048.70
  6. Step 6: Final answer
    x = 5,497.49

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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.