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Finding the Fourth Proportional to 10,163.20, 14,025.20 and 5,688

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Solution

The fourth proportional to 10,163.20, 14,025.20 and 5,688 is: 7,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.20 : 14,025.20 = 5,688 : x
  2. Step 2: Convert to fraction form
    10,163.20/14,025.20 = 5,688/x
  3. Step 3: Cross multiply
    10,163.20x = 14,025.20 × 5,688
  4. Step 4: Simplify right side
    10,163.20x = 79,775,351.82
  5. Step 5: Solve for x
    x = 79,775,351.82/10,163.20
  6. Step 6: Final answer
    x = 7,849.43

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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.