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Finding the Fourth Proportional to 11,176.77, 16,765.14 and 2,856.80

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Solution

The fourth proportional to 11,176.77, 16,765.14 and 2,856.80 is: 4,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.77 : 16,765.14 = 2,856.80 : x
  2. Step 2: Convert to fraction form
    11,176.77/16,765.14 = 2,856.80/x
  3. Step 3: Cross multiply
    11,176.77x = 16,765.14 × 2,856.80
  4. Step 4: Simplify right side
    11,176.77x = 47,894,568.13
  5. Step 5: Solve for x
    x = 47,894,568.13/11,176.77
  6. Step 6: Final answer
    x = 4,285.19

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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.