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Finding the Fourth Proportional to 7,879.96, 11,820 and 2,257.64

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Solution

The fourth proportional to 7,879.96, 11,820 and 2,257.64 is: 3,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.96 : 11,820 = 2,257.64 : x
  2. Step 2: Convert to fraction form
    7,879.96/11,820 = 2,257.64/x
  3. Step 3: Cross multiply
    7,879.96x = 11,820 × 2,257.64
  4. Step 4: Simplify right side
    7,879.96x = 26,685,304.80
  5. Step 5: Solve for x
    x = 26,685,304.80/7,879.96
  6. Step 6: Final answer
    x = 3,386.48

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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.