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Finding the Fourth Proportional to 10,704.83, 14,772.78 and 8,933.36

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Solution

The fourth proportional to 10,704.83, 14,772.78 and 8,933.36 is: 12,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.83 : 14,772.78 = 8,933.36 : x
  2. Step 2: Convert to fraction form
    10,704.83/14,772.78 = 8,933.36/x
  3. Step 3: Cross multiply
    10,704.83x = 14,772.78 × 8,933.36
  4. Step 4: Simplify right side
    10,704.83x = 131,970,488.08
  5. Step 5: Solve for x
    x = 131,970,488.08/10,704.83
  6. Step 6: Final answer
    x = 12,328.13

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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.