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Finding the Fourth Proportional to 10,854.82, 16,269.81 and 4,605.67

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Solution

The fourth proportional to 10,854.82, 16,269.81 and 4,605.67 is: 6,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.82 : 16,269.81 = 4,605.67 : x
  2. Step 2: Convert to fraction form
    10,854.82/16,269.81 = 4,605.67/x
  3. Step 3: Cross multiply
    10,854.82x = 16,269.81 × 4,605.67
  4. Step 4: Simplify right side
    10,854.82x = 74,933,375.82
  5. Step 5: Solve for x
    x = 74,933,375.82/10,854.82
  6. Step 6: Final answer
    x = 6,903.24

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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.