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Finding the Fourth Proportional to 7,552.02, 10,421.90 and 4,194.78

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Solution

The fourth proportional to 7,552.02, 10,421.90 and 4,194.78 is: 5,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.02 : 10,421.90 = 4,194.78 : x
  2. Step 2: Convert to fraction form
    7,552.02/10,421.90 = 4,194.78/x
  3. Step 3: Cross multiply
    7,552.02x = 10,421.90 × 4,194.78
  4. Step 4: Simplify right side
    7,552.02x = 43,717,577.68
  5. Step 5: Solve for x
    x = 43,717,577.68/7,552.02
  6. Step 6: Final answer
    x = 5,788.86

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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.