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Finding the Fourth Proportional to 7,759.08, 11,636.46 and 3,141

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Solution

The fourth proportional to 7,759.08, 11,636.46 and 3,141 is: 4,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.08 : 11,636.46 = 3,141 : x
  2. Step 2: Convert to fraction form
    7,759.08/11,636.46 = 3,141/x
  3. Step 3: Cross multiply
    7,759.08x = 11,636.46 × 3,141
  4. Step 4: Simplify right side
    7,759.08x = 36,550,120.86
  5. Step 5: Solve for x
    x = 36,550,120.86/7,759.08
  6. Step 6: Final answer
    x = 4,710.63

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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.