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Finding the Fourth Proportional to 11,076, 16,614.72 and 4,150.68

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Solution

The fourth proportional to 11,076, 16,614.72 and 4,150.68 is: 6,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 16,614.72 = 4,150.68 : x
  2. Step 2: Convert to fraction form
    11,076/16,614.72 = 4,150.68/x
  3. Step 3: Cross multiply
    11,076x = 16,614.72 × 4,150.68
  4. Step 4: Simplify right side
    11,076x = 68,962,386.01
  5. Step 5: Solve for x
    x = 68,962,386.01/11,076
  6. Step 6: Final answer
    x = 6,226.29

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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.