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Finding the Fourth Proportional to 7,136.28, 10,664.88 and 5,734.17

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Solution

The fourth proportional to 7,136.28, 10,664.88 and 5,734.17 is: 8,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.28 : 10,664.88 = 5,734.17 : x
  2. Step 2: Convert to fraction form
    7,136.28/10,664.88 = 5,734.17/x
  3. Step 3: Cross multiply
    7,136.28x = 10,664.88 × 5,734.17
  4. Step 4: Simplify right side
    7,136.28x = 61,154,234.95
  5. Step 5: Solve for x
    x = 61,154,234.95/7,136.28
  6. Step 6: Final answer
    x = 8,569.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.