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Finding the Fourth Proportional to 10,650.10, 15,975.15 and 5,401.30

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Solution

The fourth proportional to 10,650.10, 15,975.15 and 5,401.30 is: 8,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.10 : 15,975.15 = 5,401.30 : x
  2. Step 2: Convert to fraction form
    10,650.10/15,975.15 = 5,401.30/x
  3. Step 3: Cross multiply
    10,650.10x = 15,975.15 × 5,401.30
  4. Step 4: Simplify right side
    10,650.10x = 86,286,577.70
  5. Step 5: Solve for x
    x = 86,286,577.70/10,650.10
  6. Step 6: Final answer
    x = 8,101.95

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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.