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Finding the Fourth Proportional to 6,832.62, 10,248.93 and 4,523.58

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Solution

The fourth proportional to 6,832.62, 10,248.93 and 4,523.58 is: 6,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.62 : 10,248.93 = 4,523.58 : x
  2. Step 2: Convert to fraction form
    6,832.62/10,248.93 = 4,523.58/x
  3. Step 3: Cross multiply
    6,832.62x = 10,248.93 × 4,523.58
  4. Step 4: Simplify right side
    6,832.62x = 46,361,854.77
  5. Step 5: Solve for x
    x = 46,361,854.77/6,832.62
  6. Step 6: Final answer
    x = 6,785.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.