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Finding the Fourth Proportional to 8,523.14, 11,747.57 and 6,529.32

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Solution

The fourth proportional to 8,523.14, 11,747.57 and 6,529.32 is: 8,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.14 : 11,747.57 = 6,529.32 : x
  2. Step 2: Convert to fraction form
    8,523.14/11,747.57 = 6,529.32/x
  3. Step 3: Cross multiply
    8,523.14x = 11,747.57 × 6,529.32
  4. Step 4: Simplify right side
    8,523.14x = 76,703,611.11
  5. Step 5: Solve for x
    x = 76,703,611.11/8,523.14
  6. Step 6: Final answer
    x = 8,999.46

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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.