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Finding the Fourth Proportional to 7,771.98, 11,650.95 and 2,838.15

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Solution

The fourth proportional to 7,771.98, 11,650.95 and 2,838.15 is: 4,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.98 : 11,650.95 = 2,838.15 : x
  2. Step 2: Convert to fraction form
    7,771.98/11,650.95 = 2,838.15/x
  3. Step 3: Cross multiply
    7,771.98x = 11,650.95 × 2,838.15
  4. Step 4: Simplify right side
    7,771.98x = 33,067,143.74
  5. Step 5: Solve for x
    x = 33,067,143.74/7,771.98
  6. Step 6: Final answer
    x = 4,254.66

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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.