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Finding the Fourth Proportional to 10,853.38, 16,269 and 4,276.90

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Solution

The fourth proportional to 10,853.38, 16,269 and 4,276.90 is: 6,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.38 : 16,269 = 4,276.90 : x
  2. Step 2: Convert to fraction form
    10,853.38/16,269 = 4,276.90/x
  3. Step 3: Cross multiply
    10,853.38x = 16,269 × 4,276.90
  4. Step 4: Simplify right side
    10,853.38x = 69,580,886.10
  5. Step 5: Solve for x
    x = 69,580,886.10/10,853.38
  6. Step 6: Final answer
    x = 6,410.99

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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.