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Finding the Fourth Proportional to 11,502.74, 17,239.70 and 4,921.22

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Solution

The fourth proportional to 11,502.74, 17,239.70 and 4,921.22 is: 7,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.74 : 17,239.70 = 4,921.22 : x
  2. Step 2: Convert to fraction form
    11,502.74/17,239.70 = 4,921.22/x
  3. Step 3: Cross multiply
    11,502.74x = 17,239.70 × 4,921.22
  4. Step 4: Simplify right side
    11,502.74x = 84,840,356.43
  5. Step 5: Solve for x
    x = 84,840,356.43/11,502.74
  6. Step 6: Final answer
    x = 7,375.66

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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.