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Finding the Fourth Proportional to 8,599.14, 12,899.31 and 3,405

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Solution

The fourth proportional to 8,599.14, 12,899.31 and 3,405 is: 5,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.14 : 12,899.31 = 3,405 : x
  2. Step 2: Convert to fraction form
    8,599.14/12,899.31 = 3,405/x
  3. Step 3: Cross multiply
    8,599.14x = 12,899.31 × 3,405
  4. Step 4: Simplify right side
    8,599.14x = 43,922,150.55
  5. Step 5: Solve for x
    x = 43,922,150.55/8,599.14
  6. Step 6: Final answer
    x = 5,107.74

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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.