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Finding the Fourth Proportional to 8,689.25, 13,033.86 and 3,071.07

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Solution

The fourth proportional to 8,689.25, 13,033.86 and 3,071.07 is: 4,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.25 : 13,033.86 = 3,071.07 : x
  2. Step 2: Convert to fraction form
    8,689.25/13,033.86 = 3,071.07/x
  3. Step 3: Cross multiply
    8,689.25x = 13,033.86 × 3,071.07
  4. Step 4: Simplify right side
    8,689.25x = 40,027,896.43
  5. Step 5: Solve for x
    x = 40,027,896.43/8,689.25
  6. Step 6: Final answer
    x = 4,606.60

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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.