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Finding the Fourth Proportional to 7,732.59, 11,597.81 and 3,292.04

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Solution

The fourth proportional to 7,732.59, 11,597.81 and 3,292.04 is: 4,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.59 : 11,597.81 = 3,292.04 : x
  2. Step 2: Convert to fraction form
    7,732.59/11,597.81 = 3,292.04/x
  3. Step 3: Cross multiply
    7,732.59x = 11,597.81 × 3,292.04
  4. Step 4: Simplify right side
    7,732.59x = 38,180,379.98
  5. Step 5: Solve for x
    x = 38,180,379.98/7,732.59
  6. Step 6: Final answer
    x = 4,937.59

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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.