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Finding the Fourth Proportional to 7,220.32, 10,830.24 and 2,026.24

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Solution

The fourth proportional to 7,220.32, 10,830.24 and 2,026.24 is: 3,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.32 : 10,830.24 = 2,026.24 : x
  2. Step 2: Convert to fraction form
    7,220.32/10,830.24 = 2,026.24/x
  3. Step 3: Cross multiply
    7,220.32x = 10,830.24 × 2,026.24
  4. Step 4: Simplify right side
    7,220.32x = 21,944,665.50
  5. Step 5: Solve for x
    x = 21,944,665.50/7,220.32
  6. Step 6: Final answer
    x = 3,039.29

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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.