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Finding the Fourth Proportional to 11,361.24, 17,041.86 and 6,741

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Solution

The fourth proportional to 11,361.24, 17,041.86 and 6,741 is: 10,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.24 : 17,041.86 = 6,741 : x
  2. Step 2: Convert to fraction form
    11,361.24/17,041.86 = 6,741/x
  3. Step 3: Cross multiply
    11,361.24x = 17,041.86 × 6,741
  4. Step 4: Simplify right side
    11,361.24x = 114,879,178.26
  5. Step 5: Solve for x
    x = 114,879,178.26/11,361.24
  6. Step 6: Final answer
    x = 10,111.50

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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.