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Finding the Fourth Proportional to 7,852.54, 10,837.11 and 4,496.41

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Solution

The fourth proportional to 7,852.54, 10,837.11 and 4,496.41 is: 6,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.54 : 10,837.11 = 4,496.41 : x
  2. Step 2: Convert to fraction form
    7,852.54/10,837.11 = 4,496.41/x
  3. Step 3: Cross multiply
    7,852.54x = 10,837.11 × 4,496.41
  4. Step 4: Simplify right side
    7,852.54x = 48,728,089.78
  5. Step 5: Solve for x
    x = 48,728,089.78/7,852.54
  6. Step 6: Final answer
    x = 6,205.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.