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Finding the Fourth Proportional to 8,034.52, 12,046.62 and 3,869.08

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Solution

The fourth proportional to 8,034.52, 12,046.62 and 3,869.08 is: 5,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.52 : 12,046.62 = 3,869.08 : x
  2. Step 2: Convert to fraction form
    8,034.52/12,046.62 = 3,869.08/x
  3. Step 3: Cross multiply
    8,034.52x = 12,046.62 × 3,869.08
  4. Step 4: Simplify right side
    8,034.52x = 46,609,336.51
  5. Step 5: Solve for x
    x = 46,609,336.51/8,034.52
  6. Step 6: Final answer
    x = 5,801.14

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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.