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Finding the Fourth Proportional to 10,568.94, 15,861.10 and 8,513.76

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Solution

The fourth proportional to 10,568.94, 15,861.10 and 8,513.76 is: 12,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.94 : 15,861.10 = 8,513.76 : x
  2. Step 2: Convert to fraction form
    10,568.94/15,861.10 = 8,513.76/x
  3. Step 3: Cross multiply
    10,568.94x = 15,861.10 × 8,513.76
  4. Step 4: Simplify right side
    10,568.94x = 135,037,649.78
  5. Step 5: Solve for x
    x = 135,037,649.78/10,568.94
  6. Step 6: Final answer
    x = 12,776.84

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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.