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Finding the Fourth Proportional to 7,793.86, 11,695.44 and 2,864.00

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Solution

The fourth proportional to 7,793.86, 11,695.44 and 2,864.00 is: 4,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.86 : 11,695.44 = 2,864.00 : x
  2. Step 2: Convert to fraction form
    7,793.86/11,695.44 = 2,864.00/x
  3. Step 3: Cross multiply
    7,793.86x = 11,695.44 × 2,864.00
  4. Step 4: Simplify right side
    7,793.86x = 33,495,692.42
  5. Step 5: Solve for x
    x = 33,495,692.42/7,793.86
  6. Step 6: Final answer
    x = 4,297.70

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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.