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Finding the Fourth Proportional to 7,704.96, 10,632.84 and 4,168.17

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Solution

The fourth proportional to 7,704.96, 10,632.84 and 4,168.17 is: 5,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.96 : 10,632.84 = 4,168.17 : x
  2. Step 2: Convert to fraction form
    7,704.96/10,632.84 = 4,168.17/x
  3. Step 3: Cross multiply
    7,704.96x = 10,632.84 × 4,168.17
  4. Step 4: Simplify right side
    7,704.96x = 44,319,484.70
  5. Step 5: Solve for x
    x = 44,319,484.70/7,704.96
  6. Step 6: Final answer
    x = 5,752.07

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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.