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Finding the Fourth Proportional to 8,237.76, 12,340.17 and 4,949.07

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Solution

The fourth proportional to 8,237.76, 12,340.17 and 4,949.07 is: 7,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.76 : 12,340.17 = 4,949.07 : x
  2. Step 2: Convert to fraction form
    8,237.76/12,340.17 = 4,949.07/x
  3. Step 3: Cross multiply
    8,237.76x = 12,340.17 × 4,949.07
  4. Step 4: Simplify right side
    8,237.76x = 61,072,365.14
  5. Step 5: Solve for x
    x = 61,072,365.14/8,237.76
  6. Step 6: Final answer
    x = 7,413.71

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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.