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Finding the Fourth Proportional to 10,690.80, 14,753.19 and 5,911.08

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Solution

The fourth proportional to 10,690.80, 14,753.19 and 5,911.08 is: 8,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.80 : 14,753.19 = 5,911.08 : x
  2. Step 2: Convert to fraction form
    10,690.80/14,753.19 = 5,911.08/x
  3. Step 3: Cross multiply
    10,690.80x = 14,753.19 × 5,911.08
  4. Step 4: Simplify right side
    10,690.80x = 87,207,286.35
  5. Step 5: Solve for x
    x = 87,207,286.35/10,690.80
  6. Step 6: Final answer
    x = 8,157.23

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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.