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Finding the Fourth Proportional to 8,012.13, 12,001.79 and 4,715.43

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Solution

The fourth proportional to 8,012.13, 12,001.79 and 4,715.43 is: 7,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.13 : 12,001.79 = 4,715.43 : x
  2. Step 2: Convert to fraction form
    8,012.13/12,001.79 = 4,715.43/x
  3. Step 3: Cross multiply
    8,012.13x = 12,001.79 × 4,715.43
  4. Step 4: Simplify right side
    8,012.13x = 56,593,577.04
  5. Step 5: Solve for x
    x = 56,593,577.04/8,012.13
  6. Step 6: Final answer
    x = 7,063.49

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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.