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Finding the Fourth Proportional to 10,780.86, 16,175.22 and 4,542.43

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Solution

The fourth proportional to 10,780.86, 16,175.22 and 4,542.43 is: 6,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.86 : 16,175.22 = 4,542.43 : x
  2. Step 2: Convert to fraction form
    10,780.86/16,175.22 = 4,542.43/x
  3. Step 3: Cross multiply
    10,780.86x = 16,175.22 × 4,542.43
  4. Step 4: Simplify right side
    10,780.86x = 73,474,804.58
  5. Step 5: Solve for x
    x = 73,474,804.58/10,780.86
  6. Step 6: Final answer
    x = 6,815.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.