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Finding the Fourth Proportional to 8,410.64, 11,592.72 and 7,704.72

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Solution

The fourth proportional to 8,410.64, 11,592.72 and 7,704.72 is: 10,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.64 : 11,592.72 = 7,704.72 : x
  2. Step 2: Convert to fraction form
    8,410.64/11,592.72 = 7,704.72/x
  3. Step 3: Cross multiply
    8,410.64x = 11,592.72 × 7,704.72
  4. Step 4: Simplify right side
    8,410.64x = 89,318,661.64
  5. Step 5: Solve for x
    x = 89,318,661.64/8,410.64
  6. Step 6: Final answer
    x = 10,619.73

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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.