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Finding the Fourth Proportional to 10,806.48, 16,197.66 and 4,564.62

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Solution

The fourth proportional to 10,806.48, 16,197.66 and 4,564.62 is: 6,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.48 : 16,197.66 = 4,564.62 : x
  2. Step 2: Convert to fraction form
    10,806.48/16,197.66 = 4,564.62/x
  3. Step 3: Cross multiply
    10,806.48x = 16,197.66 × 4,564.62
  4. Step 4: Simplify right side
    10,806.48x = 73,936,162.79
  5. Step 5: Solve for x
    x = 73,936,162.79/10,806.48
  6. Step 6: Final answer
    x = 6,841.84

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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.