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Finding the Fourth Proportional to 8,542.32, 12,806.11 and 3,615.49

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Solution

The fourth proportional to 8,542.32, 12,806.11 and 3,615.49 is: 5,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 12,806.11 = 3,615.49 : x
  2. Step 2: Convert to fraction form
    8,542.32/12,806.11 = 3,615.49/x
  3. Step 3: Cross multiply
    8,542.32x = 12,806.11 × 3,615.49
  4. Step 4: Simplify right side
    8,542.32x = 46,300,362.64
  5. Step 5: Solve for x
    x = 46,300,362.64/8,542.32
  6. Step 6: Final answer
    x = 5,420.12

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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.