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Finding the Fourth Proportional to 8,520.24, 11,774.52 and 6,923.76

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Solution

The fourth proportional to 8,520.24, 11,774.52 and 6,923.76 is: 9,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.24 : 11,774.52 = 6,923.76 : x
  2. Step 2: Convert to fraction form
    8,520.24/11,774.52 = 6,923.76/x
  3. Step 3: Cross multiply
    8,520.24x = 11,774.52 × 6,923.76
  4. Step 4: Simplify right side
    8,520.24x = 81,523,950.60
  5. Step 5: Solve for x
    x = 81,523,950.60/8,520.24
  6. Step 6: Final answer
    x = 9,568.27

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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.