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Finding the Fourth Proportional to 8,856.84, 13,285.32 and 2,282.58

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Solution

The fourth proportional to 8,856.84, 13,285.32 and 2,282.58 is: 3,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.84 : 13,285.32 = 2,282.58 : x
  2. Step 2: Convert to fraction form
    8,856.84/13,285.32 = 2,282.58/x
  3. Step 3: Cross multiply
    8,856.84x = 13,285.32 × 2,282.58
  4. Step 4: Simplify right side
    8,856.84x = 30,324,797.17
  5. Step 5: Solve for x
    x = 30,324,797.17/8,856.84
  6. Step 6: Final answer
    x = 3,423.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.