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Finding the Fourth Proportional to 10,166.30, 15,253.84 and 3,930.71

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Solution

The fourth proportional to 10,166.30, 15,253.84 and 3,930.71 is: 5,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.30 : 15,253.84 = 3,930.71 : x
  2. Step 2: Convert to fraction form
    10,166.30/15,253.84 = 3,930.71/x
  3. Step 3: Cross multiply
    10,166.30x = 15,253.84 × 3,930.71
  4. Step 4: Simplify right side
    10,166.30x = 59,958,354.05
  5. Step 5: Solve for x
    x = 59,958,354.05/10,166.30
  6. Step 6: Final answer
    x = 5,897.75

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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.