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Finding the Fourth Proportional to 7,843.02, 11,761.62 and 4,726.54

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Solution

The fourth proportional to 7,843.02, 11,761.62 and 4,726.54 is: 7,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.02 : 11,761.62 = 4,726.54 : x
  2. Step 2: Convert to fraction form
    7,843.02/11,761.62 = 4,726.54/x
  3. Step 3: Cross multiply
    7,843.02x = 11,761.62 × 4,726.54
  4. Step 4: Simplify right side
    7,843.02x = 55,591,767.39
  5. Step 5: Solve for x
    x = 55,591,767.39/7,843.02
  6. Step 6: Final answer
    x = 7,088.06

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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.