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Finding the Fourth Proportional to 7,833.30, 10,808.82 and 4,475.58

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Solution

The fourth proportional to 7,833.30, 10,808.82 and 4,475.58 is: 6,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.30 : 10,808.82 = 4,475.58 : x
  2. Step 2: Convert to fraction form
    7,833.30/10,808.82 = 4,475.58/x
  3. Step 3: Cross multiply
    7,833.30x = 10,808.82 × 4,475.58
  4. Step 4: Simplify right side
    7,833.30x = 48,375,738.62
  5. Step 5: Solve for x
    x = 48,375,738.62/7,833.30
  6. Step 6: Final answer
    x = 6,175.65

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