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Finding the Fourth Proportional to 10,815.92, 14,923.14 and 6,337.27

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Solution

The fourth proportional to 10,815.92, 14,923.14 and 6,337.27 is: 8,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.92 : 14,923.14 = 6,337.27 : x
  2. Step 2: Convert to fraction form
    10,815.92/14,923.14 = 6,337.27/x
  3. Step 3: Cross multiply
    10,815.92x = 14,923.14 × 6,337.27
  4. Step 4: Simplify right side
    10,815.92x = 94,571,967.43
  5. Step 5: Solve for x
    x = 94,571,967.43/10,815.92
  6. Step 6: Final answer
    x = 8,743.77

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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.