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Finding the Fourth Proportional to 7,507.88, 10,358.34 and 4,361.48

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Solution

The fourth proportional to 7,507.88, 10,358.34 and 4,361.48 is: 6,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.88 : 10,358.34 = 4,361.48 : x
  2. Step 2: Convert to fraction form
    7,507.88/10,358.34 = 4,361.48/x
  3. Step 3: Cross multiply
    7,507.88x = 10,358.34 × 4,361.48
  4. Step 4: Simplify right side
    7,507.88x = 45,177,692.74
  5. Step 5: Solve for x
    x = 45,177,692.74/7,507.88
  6. Step 6: Final answer
    x = 6,017.37

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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.