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Finding the Fourth Proportional to 7,732.91, 10,672.08 and 4,376.80

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Solution

The fourth proportional to 7,732.91, 10,672.08 and 4,376.80 is: 6,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.91 : 10,672.08 = 4,376.80 : x
  2. Step 2: Convert to fraction form
    7,732.91/10,672.08 = 4,376.80/x
  3. Step 3: Cross multiply
    7,732.91x = 10,672.08 × 4,376.80
  4. Step 4: Simplify right side
    7,732.91x = 46,709,506.38
  5. Step 5: Solve for x
    x = 46,709,506.38/7,732.91
  6. Step 6: Final answer
    x = 6,040.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.