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Finding the Fourth Proportional to 11,879.76, 17,823.68 and 4,486.32

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Solution

The fourth proportional to 11,879.76, 17,823.68 and 4,486.32 is: 6,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.76 : 17,823.68 = 4,486.32 : x
  2. Step 2: Convert to fraction form
    11,879.76/17,823.68 = 4,486.32/x
  3. Step 3: Cross multiply
    11,879.76x = 17,823.68 × 4,486.32
  4. Step 4: Simplify right side
    11,879.76x = 79,962,732.06
  5. Step 5: Solve for x
    x = 79,962,732.06/11,879.76
  6. Step 6: Final answer
    x = 6,731.01

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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.