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Finding the Fourth Proportional to 8,292.98, 11,443.93 and 4,936.17

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Solution

The fourth proportional to 8,292.98, 11,443.93 and 4,936.17 is: 6,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.98 : 11,443.93 = 4,936.17 : x
  2. Step 2: Convert to fraction form
    8,292.98/11,443.93 = 4,936.17/x
  3. Step 3: Cross multiply
    8,292.98x = 11,443.93 × 4,936.17
  4. Step 4: Simplify right side
    8,292.98x = 56,489,145.73
  5. Step 5: Solve for x
    x = 56,489,145.73/8,292.98
  6. Step 6: Final answer
    x = 6,811.68

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