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Finding the Fourth Proportional to 7,578.21, 10,458.11 and 4,221.25

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Solution

The fourth proportional to 7,578.21, 10,458.11 and 4,221.25 is: 5,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.21 : 10,458.11 = 4,221.25 : x
  2. Step 2: Convert to fraction form
    7,578.21/10,458.11 = 4,221.25/x
  3. Step 3: Cross multiply
    7,578.21x = 10,458.11 × 4,221.25
  4. Step 4: Simplify right side
    7,578.21x = 44,146,296.84
  5. Step 5: Solve for x
    x = 44,146,296.84/7,578.21
  6. Step 6: Final answer
    x = 5,825.43

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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.