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Finding the Fourth Proportional to 7,552.21, 10,421.83 and 4,194.94

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Solution

The fourth proportional to 7,552.21, 10,421.83 and 4,194.94 is: 5,788.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.21 : 10,421.83 = 4,194.94 : x
  2. Step 2: Convert to fraction form
    7,552.21/10,421.83 = 4,194.94/x
  3. Step 3: Cross multiply
    7,552.21x = 10,421.83 × 4,194.94
  4. Step 4: Simplify right side
    7,552.21x = 43,718,930.73
  5. Step 5: Solve for x
    x = 43,718,930.73/7,552.21
  6. Step 6: Final answer
    x = 5,788.89

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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.