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Finding the Fourth Proportional to 8,185.16, 11,295.54 and 4,648.39

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Solution

The fourth proportional to 8,185.16, 11,295.54 and 4,648.39 is: 6,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.16 : 11,295.54 = 4,648.39 : x
  2. Step 2: Convert to fraction form
    8,185.16/11,295.54 = 4,648.39/x
  3. Step 3: Cross multiply
    8,185.16x = 11,295.54 × 4,648.39
  4. Step 4: Simplify right side
    8,185.16x = 52,506,046.94
  5. Step 5: Solve for x
    x = 52,506,046.94/8,185.16
  6. Step 6: Final answer
    x = 6,414.78

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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.