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Finding the Fourth Proportional to 10,267.75, 15,401.63 and 4,111.75

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Solution

The fourth proportional to 10,267.75, 15,401.63 and 4,111.75 is: 6,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.75 : 15,401.63 = 4,111.75 : x
  2. Step 2: Convert to fraction form
    10,267.75/15,401.63 = 4,111.75/x
  3. Step 3: Cross multiply
    10,267.75x = 15,401.63 × 4,111.75
  4. Step 4: Simplify right side
    10,267.75x = 63,327,652.15
  5. Step 5: Solve for x
    x = 63,327,652.15/10,267.75
  6. Step 6: Final answer
    x = 6,167.63

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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.