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Finding the Fourth Proportional to 7,221.86, 10,830.90 and 2,026.52

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Solution

The fourth proportional to 7,221.86, 10,830.90 and 2,026.52 is: 3,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.86 : 10,830.90 = 2,026.52 : x
  2. Step 2: Convert to fraction form
    7,221.86/10,830.90 = 2,026.52/x
  3. Step 3: Cross multiply
    7,221.86x = 10,830.90 × 2,026.52
  4. Step 4: Simplify right side
    7,221.86x = 21,949,035.47
  5. Step 5: Solve for x
    x = 21,949,035.47/7,221.86
  6. Step 6: Final answer
    x = 3,039.25

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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.