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Finding the Fourth Proportional to 7,322.88, 10,976.64 and 3,424

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Solution

The fourth proportional to 7,322.88, 10,976.64 and 3,424 is: 5,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.88 : 10,976.64 = 3,424 : x
  2. Step 2: Convert to fraction form
    7,322.88/10,976.64 = 3,424/x
  3. Step 3: Cross multiply
    7,322.88x = 10,976.64 × 3,424
  4. Step 4: Simplify right side
    7,322.88x = 37,584,015.36
  5. Step 5: Solve for x
    x = 37,584,015.36/7,322.88
  6. Step 6: Final answer
    x = 5,132.41

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