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Finding the Fourth Proportional to 7,507.60, 10,361.38 and 6,246.44

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Solution

The fourth proportional to 7,507.60, 10,361.38 and 6,246.44 is: 8,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.60 : 10,361.38 = 6,246.44 : x
  2. Step 2: Convert to fraction form
    7,507.60/10,361.38 = 6,246.44/x
  3. Step 3: Cross multiply
    7,507.60x = 10,361.38 × 6,246.44
  4. Step 4: Simplify right side
    7,507.60x = 64,721,738.49
  5. Step 5: Solve for x
    x = 64,721,738.49/7,507.60
  6. Step 6: Final answer
    x = 8,620.83

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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.