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Finding the Fourth Proportional to 7,262.53, 10,022.16 and 4,739.86

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Solution

The fourth proportional to 7,262.53, 10,022.16 and 4,739.86 is: 6,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.53 : 10,022.16 = 4,739.86 : x
  2. Step 2: Convert to fraction form
    7,262.53/10,022.16 = 4,739.86/x
  3. Step 3: Cross multiply
    7,262.53x = 10,022.16 × 4,739.86
  4. Step 4: Simplify right side
    7,262.53x = 47,503,635.30
  5. Step 5: Solve for x
    x = 47,503,635.30/7,262.53
  6. Step 6: Final answer
    x = 6,540.92

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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.