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Finding the Fourth Proportional to 6,745.01, 10,117.50 and 2,361.45

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Solution

The fourth proportional to 6,745.01, 10,117.50 and 2,361.45 is: 3,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.01 : 10,117.50 = 2,361.45 : x
  2. Step 2: Convert to fraction form
    6,745.01/10,117.50 = 2,361.45/x
  3. Step 3: Cross multiply
    6,745.01x = 10,117.50 × 2,361.45
  4. Step 4: Simplify right side
    6,745.01x = 23,891,970.38
  5. Step 5: Solve for x
    x = 23,891,970.38/6,745.01
  6. Step 6: Final answer
    x = 3,542.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.