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Finding the Fourth Proportional to 8,213.84, 11,335.20 and 4,856.96

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Solution

The fourth proportional to 8,213.84, 11,335.20 and 4,856.96 is: 6,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.84 : 11,335.20 = 4,856.96 : x
  2. Step 2: Convert to fraction form
    8,213.84/11,335.20 = 4,856.96/x
  3. Step 3: Cross multiply
    8,213.84x = 11,335.20 × 4,856.96
  4. Step 4: Simplify right side
    8,213.84x = 55,054,612.99
  5. Step 5: Solve for x
    x = 55,054,612.99/8,213.84
  6. Step 6: Final answer
    x = 6,702.66

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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.