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Finding the Fourth Proportional to 7,732.87, 10,672.09 and 4,707.74

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Solution

The fourth proportional to 7,732.87, 10,672.09 and 4,707.74 is: 6,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.87 : 10,672.09 = 4,707.74 : x
  2. Step 2: Convert to fraction form
    7,732.87/10,672.09 = 4,707.74/x
  3. Step 3: Cross multiply
    7,732.87x = 10,672.09 × 4,707.74
  4. Step 4: Simplify right side
    7,732.87x = 50,241,439.89
  5. Step 5: Solve for x
    x = 50,241,439.89/7,732.87
  6. Step 6: Final answer
    x = 6,497.13

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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.