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Finding the Fourth Proportional to 10,856.84, 16,286.44 and 3,459.56

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Solution

The fourth proportional to 10,856.84, 16,286.44 and 3,459.56 is: 5,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.84 : 16,286.44 = 3,459.56 : x
  2. Step 2: Convert to fraction form
    10,856.84/16,286.44 = 3,459.56/x
  3. Step 3: Cross multiply
    10,856.84x = 16,286.44 × 3,459.56
  4. Step 4: Simplify right side
    10,856.84x = 56,343,916.37
  5. Step 5: Solve for x
    x = 56,343,916.37/10,856.84
  6. Step 6: Final answer
    x = 5,189.72

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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.