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Finding the Fourth Proportional to 7,705.38, 10,633.41 and 4,168.58

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Solution

The fourth proportional to 7,705.38, 10,633.41 and 4,168.58 is: 5,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.38 : 10,633.41 = 4,168.58 : x
  2. Step 2: Convert to fraction form
    7,705.38/10,633.41 = 4,168.58/x
  3. Step 3: Cross multiply
    7,705.38x = 10,633.41 × 4,168.58
  4. Step 4: Simplify right side
    7,705.38x = 44,326,220.26
  5. Step 5: Solve for x
    x = 44,326,220.26/7,705.38
  6. Step 6: Final answer
    x = 5,752.63

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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.