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Finding the Fourth Proportional to 7,716.25, 11,574.92 and 3,099.25

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Solution

The fourth proportional to 7,716.25, 11,574.92 and 3,099.25 is: 4,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.25 : 11,574.92 = 3,099.25 : x
  2. Step 2: Convert to fraction form
    7,716.25/11,574.92 = 3,099.25/x
  3. Step 3: Cross multiply
    7,716.25x = 11,574.92 × 3,099.25
  4. Step 4: Simplify right side
    7,716.25x = 35,873,570.81
  5. Step 5: Solve for x
    x = 35,873,570.81/7,716.25
  6. Step 6: Final answer
    x = 4,649.09

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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.