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Finding the Fourth Proportional to 10,855.69, 16,281.57 and 3,458.46

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Solution

The fourth proportional to 10,855.69, 16,281.57 and 3,458.46 is: 5,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.69 : 16,281.57 = 3,458.46 : x
  2. Step 2: Convert to fraction form
    10,855.69/16,281.57 = 3,458.46/x
  3. Step 3: Cross multiply
    10,855.69x = 16,281.57 × 3,458.46
  4. Step 4: Simplify right side
    10,855.69x = 56,309,232.61
  5. Step 5: Solve for x
    x = 56,309,232.61/10,855.69
  6. Step 6: Final answer
    x = 5,187.07

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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.