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Finding the Fourth Proportional to 8,565.84, 11,826.50 and 5,736.84

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Solution

The fourth proportional to 8,565.84, 11,826.50 and 5,736.84 is: 7,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.84 : 11,826.50 = 5,736.84 : x
  2. Step 2: Convert to fraction form
    8,565.84/11,826.50 = 5,736.84/x
  3. Step 3: Cross multiply
    8,565.84x = 11,826.50 × 5,736.84
  4. Step 4: Simplify right side
    8,565.84x = 67,846,738.26
  5. Step 5: Solve for x
    x = 67,846,738.26/8,565.84
  6. Step 6: Final answer
    x = 7,920.62

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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.