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Finding the Fourth Proportional to 7,460.22, 10,287.46 and 5,221.38

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Solution

The fourth proportional to 7,460.22, 10,287.46 and 5,221.38 is: 7,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.22 : 10,287.46 = 5,221.38 : x
  2. Step 2: Convert to fraction form
    7,460.22/10,287.46 = 5,221.38/x
  3. Step 3: Cross multiply
    7,460.22x = 10,287.46 × 5,221.38
  4. Step 4: Simplify right side
    7,460.22x = 53,714,737.89
  5. Step 5: Solve for x
    x = 53,714,737.89/7,460.22
  6. Step 6: Final answer
    x = 7,200.15

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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.