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Finding the Fourth Proportional to 7,704.64, 11,538.30 and 4,407.73

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Solution

The fourth proportional to 7,704.64, 11,538.30 and 4,407.73 is: 6,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.64 : 11,538.30 = 4,407.73 : x
  2. Step 2: Convert to fraction form
    7,704.64/11,538.30 = 4,407.73/x
  3. Step 3: Cross multiply
    7,704.64x = 11,538.30 × 4,407.73
  4. Step 4: Simplify right side
    7,704.64x = 50,857,711.06
  5. Step 5: Solve for x
    x = 50,857,711.06/7,704.64
  6. Step 6: Final answer
    x = 6,600.92

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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.