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Finding the Fourth Proportional to 8,589.14, 12,886.47 and 3,662.99

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Solution

The fourth proportional to 8,589.14, 12,886.47 and 3,662.99 is: 5,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.14 : 12,886.47 = 3,662.99 : x
  2. Step 2: Convert to fraction form
    8,589.14/12,886.47 = 3,662.99/x
  3. Step 3: Cross multiply
    8,589.14x = 12,886.47 × 3,662.99
  4. Step 4: Simplify right side
    8,589.14x = 47,202,946.31
  5. Step 5: Solve for x
    x = 47,202,946.31/8,589.14
  6. Step 6: Final answer
    x = 5,495.66

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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.