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Finding the Fourth Proportional to 8,034.66, 12,055.54 and 2,770.47

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Solution

The fourth proportional to 8,034.66, 12,055.54 and 2,770.47 is: 4,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.66 : 12,055.54 = 2,770.47 : x
  2. Step 2: Convert to fraction form
    8,034.66/12,055.54 = 2,770.47/x
  3. Step 3: Cross multiply
    8,034.66x = 12,055.54 × 2,770.47
  4. Step 4: Simplify right side
    8,034.66x = 33,399,498.05
  5. Step 5: Solve for x
    x = 33,399,498.05/8,034.66
  6. Step 6: Final answer
    x = 4,156.93

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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.