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Finding the Fourth Proportional to 11,076, 16,614.06 and 2,868

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Solution

The fourth proportional to 11,076, 16,614.06 and 2,868 is: 4,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 16,614.06 = 2,868 : x
  2. Step 2: Convert to fraction form
    11,076/16,614.06 = 2,868/x
  3. Step 3: Cross multiply
    11,076x = 16,614.06 × 2,868
  4. Step 4: Simplify right side
    11,076x = 47,649,124.08
  5. Step 5: Solve for x
    x = 47,649,124.08/11,076
  6. Step 6: Final answer
    x = 4,302.02

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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.