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Finding the Fourth Proportional to 10,142.44, 13,991.70 and 6,363.70

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Solution

The fourth proportional to 10,142.44, 13,991.70 and 6,363.70 is: 8,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.44 : 13,991.70 = 6,363.70 : x
  2. Step 2: Convert to fraction form
    10,142.44/13,991.70 = 6,363.70/x
  3. Step 3: Cross multiply
    10,142.44x = 13,991.70 × 6,363.70
  4. Step 4: Simplify right side
    10,142.44x = 89,038,981.29
  5. Step 5: Solve for x
    x = 89,038,981.29/10,142.44
  6. Step 6: Final answer
    x = 8,778.85

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