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Finding the Fourth Proportional to 7,724.25, 10,662.71 and 5,486.49

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Solution

The fourth proportional to 7,724.25, 10,662.71 and 5,486.49 is: 7,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.25 : 10,662.71 = 5,486.49 : x
  2. Step 2: Convert to fraction form
    7,724.25/10,662.71 = 5,486.49/x
  3. Step 3: Cross multiply
    7,724.25x = 10,662.71 × 5,486.49
  4. Step 4: Simplify right side
    7,724.25x = 58,500,824.36
  5. Step 5: Solve for x
    x = 58,500,824.36/7,724.25
  6. Step 6: Final answer
    x = 7,573.66

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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.