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Finding the Fourth Proportional to 10,890.30, 15,028.95 and 6,174.78

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Solution

The fourth proportional to 10,890.30, 15,028.95 and 6,174.78 is: 8,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,890.30 : 15,028.95 = 6,174.78 : x
  2. Step 2: Convert to fraction form
    10,890.30/15,028.95 = 6,174.78/x
  3. Step 3: Cross multiply
    10,890.30x = 15,028.95 × 6,174.78
  4. Step 4: Simplify right side
    10,890.30x = 92,800,459.88
  5. Step 5: Solve for x
    x = 92,800,459.88/10,890.30
  6. Step 6: Final answer
    x = 8,521.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.