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Finding the Fourth Proportional to 8,589.60, 12,885.84 and 2,745.76

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Solution

The fourth proportional to 8,589.60, 12,885.84 and 2,745.76 is: 4,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.60 : 12,885.84 = 2,745.76 : x
  2. Step 2: Convert to fraction form
    8,589.60/12,885.84 = 2,745.76/x
  3. Step 3: Cross multiply
    8,589.60x = 12,885.84 × 2,745.76
  4. Step 4: Simplify right side
    8,589.60x = 35,381,424.04
  5. Step 5: Solve for x
    x = 35,381,424.04/8,589.60
  6. Step 6: Final answer
    x = 4,119.10

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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.