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Finding the Fourth Proportional to 8,715.43, 13,069.06 and 3,164.90

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Solution

The fourth proportional to 8,715.43, 13,069.06 and 3,164.90 is: 4,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.43 : 13,069.06 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    8,715.43/13,069.06 = 3,164.90/x
  3. Step 3: Cross multiply
    8,715.43x = 13,069.06 × 3,164.90
  4. Step 4: Simplify right side
    8,715.43x = 41,362,292.75
  5. Step 5: Solve for x
    x = 41,362,292.75/8,715.43
  6. Step 6: Final answer
    x = 4,745.87

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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.