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Finding the Fourth Proportional to 10,163.81, 14,024.05 and 5,686.70

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Solution

The fourth proportional to 10,163.81, 14,024.05 and 5,686.70 is: 7,846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.81 : 14,024.05 = 5,686.70 : x
  2. Step 2: Convert to fraction form
    10,163.81/14,024.05 = 5,686.70/x
  3. Step 3: Cross multiply
    10,163.81x = 14,024.05 × 5,686.70
  4. Step 4: Simplify right side
    10,163.81x = 79,750,480.80
  5. Step 5: Solve for x
    x = 79,750,480.80/10,163.81
  6. Step 6: Final answer
    x = 7,846.51

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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.