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Finding the Fourth Proportional to 8,292.78, 11,446.44 and 4,937.94

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Solution

The fourth proportional to 8,292.78, 11,446.44 and 4,937.94 is: 6,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.78 : 11,446.44 = 4,937.94 : x
  2. Step 2: Convert to fraction form
    8,292.78/11,446.44 = 4,937.94/x
  3. Step 3: Cross multiply
    8,292.78x = 11,446.44 × 4,937.94
  4. Step 4: Simplify right side
    8,292.78x = 56,521,833.93
  5. Step 5: Solve for x
    x = 56,521,833.93/8,292.78
  6. Step 6: Final answer
    x = 6,815.79

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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.