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Finding the Fourth Proportional to 7,704.68, 10,632.66 and 4,563.32

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Solution

The fourth proportional to 7,704.68, 10,632.66 and 4,563.32 is: 6,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.68 : 10,632.66 = 4,563.32 : x
  2. Step 2: Convert to fraction form
    7,704.68/10,632.66 = 4,563.32/x
  3. Step 3: Cross multiply
    7,704.68x = 10,632.66 × 4,563.32
  4. Step 4: Simplify right side
    7,704.68x = 48,520,230.03
  5. Step 5: Solve for x
    x = 48,520,230.03/7,704.68
  6. Step 6: Final answer
    x = 6,297.50

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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.