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Finding the Fourth Proportional to 8,033.76, 12,045.48 and 3,865.48

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Solution

The fourth proportional to 8,033.76, 12,045.48 and 3,865.48 is: 5,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.76 : 12,045.48 = 3,865.48 : x
  2. Step 2: Convert to fraction form
    8,033.76/12,045.48 = 3,865.48/x
  3. Step 3: Cross multiply
    8,033.76x = 12,045.48 × 3,865.48
  4. Step 4: Simplify right side
    8,033.76x = 46,561,562.03
  5. Step 5: Solve for x
    x = 46,561,562.03/8,033.76
  6. Step 6: Final answer
    x = 5,795.74

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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.