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Finding the Fourth Proportional to 8,538.24, 12,806.28 and 3,347.76

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Solution

The fourth proportional to 8,538.24, 12,806.28 and 3,347.76 is: 5,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.24 : 12,806.28 = 3,347.76 : x
  2. Step 2: Convert to fraction form
    8,538.24/12,806.28 = 3,347.76/x
  3. Step 3: Cross multiply
    8,538.24x = 12,806.28 × 3,347.76
  4. Step 4: Simplify right side
    8,538.24x = 42,872,351.93
  5. Step 5: Solve for x
    x = 42,872,351.93/8,538.24
  6. Step 6: Final answer
    x = 5,021.22

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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.