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Finding the Fourth Proportional to 10,263.50, 14,163.81 and 6,015.77

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Solution

The fourth proportional to 10,263.50, 14,163.81 and 6,015.77 is: 8,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.50 : 14,163.81 = 6,015.77 : x
  2. Step 2: Convert to fraction form
    10,263.50/14,163.81 = 6,015.77/x
  3. Step 3: Cross multiply
    10,263.50x = 14,163.81 × 6,015.77
  4. Step 4: Simplify right side
    10,263.50x = 85,206,152.46
  5. Step 5: Solve for x
    x = 85,206,152.46/10,263.50
  6. Step 6: Final answer
    x = 8,301.87

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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.