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Finding the Fourth Proportional to 8,041.47, 12,061.79 and 2,776.47

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Solution

The fourth proportional to 8,041.47, 12,061.79 and 2,776.47 is: 4,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.47 : 12,061.79 = 2,776.47 : x
  2. Step 2: Convert to fraction form
    8,041.47/12,061.79 = 2,776.47/x
  3. Step 3: Cross multiply
    8,041.47x = 12,061.79 × 2,776.47
  4. Step 4: Simplify right side
    8,041.47x = 33,489,198.08
  5. Step 5: Solve for x
    x = 33,489,198.08/8,041.47
  6. Step 6: Final answer
    x = 4,164.56

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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.