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Finding the Fourth Proportional to 7,254.54, 10,832.49 and 6,843.88

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Solution

The fourth proportional to 7,254.54, 10,832.49 and 6,843.88 is: 10,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.54 : 10,832.49 = 6,843.88 : x
  2. Step 2: Convert to fraction form
    7,254.54/10,832.49 = 6,843.88/x
  3. Step 3: Cross multiply
    7,254.54x = 10,832.49 × 6,843.88
  4. Step 4: Simplify right side
    7,254.54x = 74,136,261.66
  5. Step 5: Solve for x
    x = 74,136,261.66/7,254.54
  6. Step 6: Final answer
    x = 10,219.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.