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Finding the Fourth Proportional to 11,176.71, 16,765.03 and 2,856.72

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Solution

The fourth proportional to 11,176.71, 16,765.03 and 2,856.72 is: 4,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.71 : 16,765.03 = 2,856.72 : x
  2. Step 2: Convert to fraction form
    11,176.71/16,765.03 = 2,856.72/x
  3. Step 3: Cross multiply
    11,176.71x = 16,765.03 × 2,856.72
  4. Step 4: Simplify right side
    11,176.71x = 47,892,996.50
  5. Step 5: Solve for x
    x = 47,892,996.50/11,176.71
  6. Step 6: Final answer
    x = 4,285.07

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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.