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Finding the Fourth Proportional to 11,772.73, 17,655.54 and 4,750.48

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Solution

The fourth proportional to 11,772.73, 17,655.54 and 4,750.48 is: 7,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.73 : 17,655.54 = 4,750.48 : x
  2. Step 2: Convert to fraction form
    11,772.73/17,655.54 = 4,750.48/x
  3. Step 3: Cross multiply
    11,772.73x = 17,655.54 × 4,750.48
  4. Step 4: Simplify right side
    11,772.73x = 83,872,289.66
  5. Step 5: Solve for x
    x = 83,872,289.66/11,772.73
  6. Step 6: Final answer
    x = 7,124.29

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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.