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Finding the Fourth Proportional to 11,176.76, 16,765.10 and 2,856.77

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Solution

The fourth proportional to 11,176.76, 16,765.10 and 2,856.77 is: 4,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.76 : 16,765.10 = 2,856.77 : x
  2. Step 2: Convert to fraction form
    11,176.76/16,765.10 = 2,856.77/x
  3. Step 3: Cross multiply
    11,176.76x = 16,765.10 × 2,856.77
  4. Step 4: Simplify right side
    11,176.76x = 47,893,936.62
  5. Step 5: Solve for x
    x = 47,893,936.62/11,176.76
  6. Step 6: Final answer
    x = 4,285.14

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Why These Related Problems?

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