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Finding the Fourth Proportional to 10,163.30, 15,275.03 and 8,419.48

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Solution

The fourth proportional to 10,163.30, 15,275.03 and 8,419.48 is: 12,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.30 : 15,275.03 = 8,419.48 : x
  2. Step 2: Convert to fraction form
    10,163.30/15,275.03 = 8,419.48/x
  3. Step 3: Cross multiply
    10,163.30x = 15,275.03 × 8,419.48
  4. Step 4: Simplify right side
    10,163.30x = 128,607,729.30
  5. Step 5: Solve for x
    x = 128,607,729.30/10,163.30
  6. Step 6: Final answer
    x = 12,654.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.