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Finding the Fourth Proportional to 8,523.96, 11,758.56 and 5,866.76

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Solution

The fourth proportional to 8,523.96, 11,758.56 and 5,866.76 is: 8,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.96 : 11,758.56 = 5,866.76 : x
  2. Step 2: Convert to fraction form
    8,523.96/11,758.56 = 5,866.76/x
  3. Step 3: Cross multiply
    8,523.96x = 11,758.56 × 5,866.76
  4. Step 4: Simplify right side
    8,523.96x = 68,984,590.67
  5. Step 5: Solve for x
    x = 68,984,590.67/8,523.96
  6. Step 6: Final answer
    x = 8,093.02

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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.