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Finding the Fourth Proportional to 8,534.88, 11,772.38 and 7,413.87

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Solution

The fourth proportional to 8,534.88, 11,772.38 and 7,413.87 is: 10,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.88 : 11,772.38 = 7,413.87 : x
  2. Step 2: Convert to fraction form
    8,534.88/11,772.38 = 7,413.87/x
  3. Step 3: Cross multiply
    8,534.88x = 11,772.38 × 7,413.87
  4. Step 4: Simplify right side
    8,534.88x = 87,278,894.91
  5. Step 5: Solve for x
    x = 87,278,894.91/8,534.88
  6. Step 6: Final answer
    x = 10,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.