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Finding the Fourth Proportional to 7,507.80, 10,361.34 and 4,524.66

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Solution

The fourth proportional to 7,507.80, 10,361.34 and 4,524.66 is: 6,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.80 : 10,361.34 = 4,524.66 : x
  2. Step 2: Convert to fraction form
    7,507.80/10,361.34 = 4,524.66/x
  3. Step 3: Cross multiply
    7,507.80x = 10,361.34 × 4,524.66
  4. Step 4: Simplify right side
    7,507.80x = 46,881,540.64
  5. Step 5: Solve for x
    x = 46,881,540.64/7,507.80
  6. Step 6: Final answer
    x = 6,244.38

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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.