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Finding the Fourth Proportional to 11,854.49, 17,781.76 and 4,838.33

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Solution

The fourth proportional to 11,854.49, 17,781.76 and 4,838.33 is: 7,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.49 : 17,781.76 = 4,838.33 : x
  2. Step 2: Convert to fraction form
    11,854.49/17,781.76 = 4,838.33/x
  3. Step 3: Cross multiply
    11,854.49x = 17,781.76 × 4,838.33
  4. Step 4: Simplify right side
    11,854.49x = 86,033,921.86
  5. Step 5: Solve for x
    x = 86,033,921.86/11,854.49
  6. Step 6: Final answer
    x = 7,257.50

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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.