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Finding the Fourth Proportional to 10,711.56, 14,781.84 and 5,995.88

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Solution

The fourth proportional to 10,711.56, 14,781.84 and 5,995.88 is: 8,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.56 : 14,781.84 = 5,995.88 : x
  2. Step 2: Convert to fraction form
    10,711.56/14,781.84 = 5,995.88/x
  3. Step 3: Cross multiply
    10,711.56x = 14,781.84 × 5,995.88
  4. Step 4: Simplify right side
    10,711.56x = 88,630,064.91
  5. Step 5: Solve for x
    x = 88,630,064.91/10,711.56
  6. Step 6: Final answer
    x = 8,274.24

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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.