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Finding the Fourth Proportional to 8,135.08, 11,226.34 and 4,409

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Solution

The fourth proportional to 8,135.08, 11,226.34 and 4,409 is: 6,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.08 : 11,226.34 = 4,409 : x
  2. Step 2: Convert to fraction form
    8,135.08/11,226.34 = 4,409/x
  3. Step 3: Cross multiply
    8,135.08x = 11,226.34 × 4,409
  4. Step 4: Simplify right side
    8,135.08x = 49,496,933.06
  5. Step 5: Solve for x
    x = 49,496,933.06/8,135.08
  6. Step 6: Final answer
    x = 6,084.38

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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.