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Finding the Fourth Proportional to 8,048.72, 12,064.84 and 3,116.46

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Solution

The fourth proportional to 8,048.72, 12,064.84 and 3,116.46 is: 4,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.72 : 12,064.84 = 3,116.46 : x
  2. Step 2: Convert to fraction form
    8,048.72/12,064.84 = 3,116.46/x
  3. Step 3: Cross multiply
    8,048.72x = 12,064.84 × 3,116.46
  4. Step 4: Simplify right side
    8,048.72x = 37,599,591.27
  5. Step 5: Solve for x
    x = 37,599,591.27/8,048.72
  6. Step 6: Final answer
    x = 4,671.50

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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.