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Finding the Fourth Proportional to 7,196.01, 10,780.19 and 4,414.58

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Solution

The fourth proportional to 7,196.01, 10,780.19 and 4,414.58 is: 6,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.01 : 10,780.19 = 4,414.58 : x
  2. Step 2: Convert to fraction form
    7,196.01/10,780.19 = 4,414.58/x
  3. Step 3: Cross multiply
    7,196.01x = 10,780.19 × 4,414.58
  4. Step 4: Simplify right side
    7,196.01x = 47,589,935.20
  5. Step 5: Solve for x
    x = 47,589,935.20/7,196.01
  6. Step 6: Final answer
    x = 6,613.38

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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.