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Finding the Fourth Proportional to 8,589.44, 12,887.04 and 3,656.96

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Solution

The fourth proportional to 8,589.44, 12,887.04 and 3,656.96 is: 5,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.44 : 12,887.04 = 3,656.96 : x
  2. Step 2: Convert to fraction form
    8,589.44/12,887.04 = 3,656.96/x
  3. Step 3: Cross multiply
    8,589.44x = 12,887.04 × 3,656.96
  4. Step 4: Simplify right side
    8,589.44x = 47,127,389.80
  5. Step 5: Solve for x
    x = 47,127,389.80/8,589.44
  6. Step 6: Final answer
    x = 5,486.67

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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.