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Finding the Fourth Proportional to 11,174.85, 15,420.38 and 6,138.81

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Solution

The fourth proportional to 11,174.85, 15,420.38 and 6,138.81 is: 8,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.85 : 15,420.38 = 6,138.81 : x
  2. Step 2: Convert to fraction form
    11,174.85/15,420.38 = 6,138.81/x
  3. Step 3: Cross multiply
    11,174.85x = 15,420.38 × 6,138.81
  4. Step 4: Simplify right side
    11,174.85x = 94,662,752.25
  5. Step 5: Solve for x
    x = 94,662,752.25/11,174.85
  6. Step 6: Final answer
    x = 8,471.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.