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Finding the Fourth Proportional to 11,363.16, 17,046.62 and 4,791.24

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Solution

The fourth proportional to 11,363.16, 17,046.62 and 4,791.24 is: 7,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.16 : 17,046.62 = 4,791.24 : x
  2. Step 2: Convert to fraction form
    11,363.16/17,046.62 = 4,791.24/x
  3. Step 3: Cross multiply
    11,363.16x = 17,046.62 × 4,791.24
  4. Step 4: Simplify right side
    11,363.16x = 81,674,447.61
  5. Step 5: Solve for x
    x = 81,674,447.61/11,363.16
  6. Step 6: Final answer
    x = 7,187.65

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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.