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Finding the Fourth Proportional to 7,282.50, 10,929.22 and 4,816.46

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Solution

The fourth proportional to 7,282.50, 10,929.22 and 4,816.46 is: 7,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.50 : 10,929.22 = 4,816.46 : x
  2. Step 2: Convert to fraction form
    7,282.50/10,929.22 = 4,816.46/x
  3. Step 3: Cross multiply
    7,282.50x = 10,929.22 × 4,816.46
  4. Step 4: Simplify right side
    7,282.50x = 52,640,150.96
  5. Step 5: Solve for x
    x = 52,640,150.96/7,282.50
  6. Step 6: Final answer
    x = 7,228.31

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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.