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Finding the Fourth Proportional to 7,201.58, 10,809.12 and 4,433.66

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Solution

The fourth proportional to 7,201.58, 10,809.12 and 4,433.66 is: 6,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.58 : 10,809.12 = 4,433.66 : x
  2. Step 2: Convert to fraction form
    7,201.58/10,809.12 = 4,433.66/x
  3. Step 3: Cross multiply
    7,201.58x = 10,809.12 × 4,433.66
  4. Step 4: Simplify right side
    7,201.58x = 47,923,984.03
  5. Step 5: Solve for x
    x = 47,923,984.03/7,201.58
  6. Step 6: Final answer
    x = 6,654.65

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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.