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Finding the Fourth Proportional to 8,537.56, 12,806.28 and 2,381.56

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Solution

The fourth proportional to 8,537.56, 12,806.28 and 2,381.56 is: 3,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.56 : 12,806.28 = 2,381.56 : x
  2. Step 2: Convert to fraction form
    8,537.56/12,806.28 = 2,381.56/x
  3. Step 3: Cross multiply
    8,537.56x = 12,806.28 × 2,381.56
  4. Step 4: Simplify right side
    8,537.56x = 30,498,924.20
  5. Step 5: Solve for x
    x = 30,498,924.20/8,537.56
  6. Step 6: Final answer
    x = 3,572.32

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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.