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Finding the Fourth Proportional to 10,263.68, 14,163 and 5,786.48

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Solution

The fourth proportional to 10,263.68, 14,163 and 5,786.48 is: 7,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.68 : 14,163 = 5,786.48 : x
  2. Step 2: Convert to fraction form
    10,263.68/14,163 = 5,786.48/x
  3. Step 3: Cross multiply
    10,263.68x = 14,163 × 5,786.48
  4. Step 4: Simplify right side
    10,263.68x = 81,953,916.24
  5. Step 5: Solve for x
    x = 81,953,916.24/10,263.68
  6. Step 6: Final answer
    x = 7,984.85

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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.