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Finding the Fourth Proportional to 8,838.24, 12,196.83 and 4,859.39

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Solution

The fourth proportional to 8,838.24, 12,196.83 and 4,859.39 is: 6,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.24 : 12,196.83 = 4,859.39 : x
  2. Step 2: Convert to fraction form
    8,838.24/12,196.83 = 4,859.39/x
  3. Step 3: Cross multiply
    8,838.24x = 12,196.83 × 4,859.39
  4. Step 4: Simplify right side
    8,838.24x = 59,269,111.09
  5. Step 5: Solve for x
    x = 59,269,111.09/8,838.24
  6. Step 6: Final answer
    x = 6,705.98

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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.