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Finding the Fourth Proportional to 10,175.70, 15,244.76 and 5,488.69

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Solution

The fourth proportional to 10,175.70, 15,244.76 and 5,488.69 is: 8,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.70 : 15,244.76 = 5,488.69 : x
  2. Step 2: Convert to fraction form
    10,175.70/15,244.76 = 5,488.69/x
  3. Step 3: Cross multiply
    10,175.70x = 15,244.76 × 5,488.69
  4. Step 4: Simplify right side
    10,175.70x = 83,673,692.21
  5. Step 5: Solve for x
    x = 83,673,692.21/10,175.70
  6. Step 6: Final answer
    x = 8,222.89

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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.