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Finding the Fourth Proportional to 7,228.88, 9,976.92 and 4,576.53

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Solution

The fourth proportional to 7,228.88, 9,976.92 and 4,576.53 is: 6,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.88 : 9,976.92 = 4,576.53 : x
  2. Step 2: Convert to fraction form
    7,228.88/9,976.92 = 4,576.53/x
  3. Step 3: Cross multiply
    7,228.88x = 9,976.92 × 4,576.53
  4. Step 4: Simplify right side
    7,228.88x = 45,659,719.68
  5. Step 5: Solve for x
    x = 45,659,719.68/7,228.88
  6. Step 6: Final answer
    x = 6,316.29

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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.