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Finding the Fourth Proportional to 8,523.90, 11,764.44 and 4,989.06

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Solution

The fourth proportional to 8,523.90, 11,764.44 and 4,989.06 is: 6,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.90 : 11,764.44 = 4,989.06 : x
  2. Step 2: Convert to fraction form
    8,523.90/11,764.44 = 4,989.06/x
  3. Step 3: Cross multiply
    8,523.90x = 11,764.44 × 4,989.06
  4. Step 4: Simplify right side
    8,523.90x = 58,693,497.03
  5. Step 5: Solve for x
    x = 58,693,497.03/8,523.90
  6. Step 6: Final answer
    x = 6,885.76

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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.