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Finding the Fourth Proportional to 7,793.45, 11,693.81 and 4,509.30

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Solution

The fourth proportional to 7,793.45, 11,693.81 and 4,509.30 is: 6,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.45 : 11,693.81 = 4,509.30 : x
  2. Step 2: Convert to fraction form
    7,793.45/11,693.81 = 4,509.30/x
  3. Step 3: Cross multiply
    7,793.45x = 11,693.81 × 4,509.30
  4. Step 4: Simplify right side
    7,793.45x = 52,730,908.71
  5. Step 5: Solve for x
    x = 52,730,908.71/7,793.45
  6. Step 6: Final answer
    x = 6,766.06

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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.