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Finding the Fourth Proportional to 11,464.13, 17,193.31 and 4,441.74

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Solution

The fourth proportional to 11,464.13, 17,193.31 and 4,441.74 is: 6,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.13 : 17,193.31 = 4,441.74 : x
  2. Step 2: Convert to fraction form
    11,464.13/17,193.31 = 4,441.74/x
  3. Step 3: Cross multiply
    11,464.13x = 17,193.31 × 4,441.74
  4. Step 4: Simplify right side
    11,464.13x = 76,368,162.16
  5. Step 5: Solve for x
    x = 76,368,162.16/11,464.13
  6. Step 6: Final answer
    x = 6,661.49

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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.