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Finding the Fourth Proportional to 8,191.54, 12,277.59 and 4,721.62

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Solution

The fourth proportional to 8,191.54, 12,277.59 and 4,721.62 is: 7,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.54 : 12,277.59 = 4,721.62 : x
  2. Step 2: Convert to fraction form
    8,191.54/12,277.59 = 4,721.62/x
  3. Step 3: Cross multiply
    8,191.54x = 12,277.59 × 4,721.62
  4. Step 4: Simplify right side
    8,191.54x = 57,970,114.50
  5. Step 5: Solve for x
    x = 57,970,114.50/8,191.54
  6. Step 6: Final answer
    x = 7,076.83

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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.