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Finding the Fourth Proportional to 7,507.96, 10,361.01 and 4,150.78

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Solution

The fourth proportional to 7,507.96, 10,361.01 and 4,150.78 is: 5,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.96 : 10,361.01 = 4,150.78 : x
  2. Step 2: Convert to fraction form
    7,507.96/10,361.01 = 4,150.78/x
  3. Step 3: Cross multiply
    7,507.96x = 10,361.01 × 4,150.78
  4. Step 4: Simplify right side
    7,507.96x = 43,006,262.75
  5. Step 5: Solve for x
    x = 43,006,262.75/7,507.96
  6. Step 6: Final answer
    x = 5,728.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.