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Finding the Fourth Proportional to 7,853.67, 11,764.94 and 4,734.50

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Solution

The fourth proportional to 7,853.67, 11,764.94 and 4,734.50 is: 7,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.67 : 11,764.94 = 4,734.50 : x
  2. Step 2: Convert to fraction form
    7,853.67/11,764.94 = 4,734.50/x
  3. Step 3: Cross multiply
    7,853.67x = 11,764.94 × 4,734.50
  4. Step 4: Simplify right side
    7,853.67x = 55,701,025.93
  5. Step 5: Solve for x
    x = 55,701,025.93/7,853.67
  6. Step 6: Final answer
    x = 7,092.36

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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.