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Finding the Fourth Proportional to 7,879.96, 11,820.76 and 3,498.40

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Solution

The fourth proportional to 7,879.96, 11,820.76 and 3,498.40 is: 5,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.96 : 11,820.76 = 3,498.40 : x
  2. Step 2: Convert to fraction form
    7,879.96/11,820.76 = 3,498.40/x
  3. Step 3: Cross multiply
    7,879.96x = 11,820.76 × 3,498.40
  4. Step 4: Simplify right side
    7,879.96x = 41,353,746.78
  5. Step 5: Solve for x
    x = 41,353,746.78/7,879.96
  6. Step 6: Final answer
    x = 5,247.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.