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Finding the Fourth Proportional to 7,136.20, 10,696.02 and 4,216.96

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Solution

The fourth proportional to 7,136.20, 10,696.02 and 4,216.96 is: 6,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.20 : 10,696.02 = 4,216.96 : x
  2. Step 2: Convert to fraction form
    7,136.20/10,696.02 = 4,216.96/x
  3. Step 3: Cross multiply
    7,136.20x = 10,696.02 × 4,216.96
  4. Step 4: Simplify right side
    7,136.20x = 45,104,688.50
  5. Step 5: Solve for x
    x = 45,104,688.50/7,136.20
  6. Step 6: Final answer
    x = 6,320.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.