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Finding the Fourth Proportional to 7,724.80, 10,668.98 and 5,202.53

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Solution

The fourth proportional to 7,724.80, 10,668.98 and 5,202.53 is: 7,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.80 : 10,668.98 = 5,202.53 : x
  2. Step 2: Convert to fraction form
    7,724.80/10,668.98 = 5,202.53/x
  3. Step 3: Cross multiply
    7,724.80x = 10,668.98 × 5,202.53
  4. Step 4: Simplify right side
    7,724.80x = 55,505,688.52
  5. Step 5: Solve for x
    x = 55,505,688.52/7,724.80
  6. Step 6: Final answer
    x = 7,185.39

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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.