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Finding the Fourth Proportional to 10,069.43, 13,899.54 and 8,647.40

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Solution

The fourth proportional to 10,069.43, 13,899.54 and 8,647.40 is: 11,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.43 : 13,899.54 = 8,647.40 : x
  2. Step 2: Convert to fraction form
    10,069.43/13,899.54 = 8,647.40/x
  3. Step 3: Cross multiply
    10,069.43x = 13,899.54 × 8,647.40
  4. Step 4: Simplify right side
    10,069.43x = 120,194,933.52
  5. Step 5: Solve for x
    x = 120,194,933.52/10,069.43
  6. Step 6: Final answer
    x = 11,936.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.