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Finding the Fourth Proportional to 10,930.66, 16,397.60 and 3,532.66

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Solution

The fourth proportional to 10,930.66, 16,397.60 and 3,532.66 is: 5,299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.66 : 16,397.60 = 3,532.66 : x
  2. Step 2: Convert to fraction form
    10,930.66/16,397.60 = 3,532.66/x
  3. Step 3: Cross multiply
    10,930.66x = 16,397.60 × 3,532.66
  4. Step 4: Simplify right side
    10,930.66x = 57,927,145.62
  5. Step 5: Solve for x
    x = 57,927,145.62/10,930.66
  6. Step 6: Final answer
    x = 5,299.51

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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.