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Finding the Fourth Proportional to 10,523.88, 14,524.11 and 6,047.82

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Solution

The fourth proportional to 10,523.88, 14,524.11 and 6,047.82 is: 8,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.88 : 14,524.11 = 6,047.82 : x
  2. Step 2: Convert to fraction form
    10,523.88/14,524.11 = 6,047.82/x
  3. Step 3: Cross multiply
    10,523.88x = 14,524.11 × 6,047.82
  4. Step 4: Simplify right side
    10,523.88x = 87,839,202.94
  5. Step 5: Solve for x
    x = 87,839,202.94/10,523.88
  6. Step 6: Final answer
    x = 8,346.66

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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.