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Finding the Fourth Proportional to 7,785.54, 11,677.83 and 2,520.44

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Solution

The fourth proportional to 7,785.54, 11,677.83 and 2,520.44 is: 3,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.54 : 11,677.83 = 2,520.44 : x
  2. Step 2: Convert to fraction form
    7,785.54/11,677.83 = 2,520.44/x
  3. Step 3: Cross multiply
    7,785.54x = 11,677.83 × 2,520.44
  4. Step 4: Simplify right side
    7,785.54x = 29,433,211.46
  5. Step 5: Solve for x
    x = 29,433,211.46/7,785.54
  6. Step 6: Final answer
    x = 3,780.50

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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.