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Finding the Fourth Proportional to 11,761.46, 17,645.22 and 4,368.02

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Solution

The fourth proportional to 11,761.46, 17,645.22 and 4,368.02 is: 6,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.46 : 17,645.22 = 4,368.02 : x
  2. Step 2: Convert to fraction form
    11,761.46/17,645.22 = 4,368.02/x
  3. Step 3: Cross multiply
    11,761.46x = 17,645.22 × 4,368.02
  4. Step 4: Simplify right side
    11,761.46x = 77,074,673.86
  5. Step 5: Solve for x
    x = 77,074,673.86/11,761.46
  6. Step 6: Final answer
    x = 6,553.16

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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.