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Finding the Fourth Proportional to 7,807.89, 11,722.83 and 4,524.66

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Solution

The fourth proportional to 7,807.89, 11,722.83 and 4,524.66 is: 6,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.89 : 11,722.83 = 4,524.66 : x
  2. Step 2: Convert to fraction form
    7,807.89/11,722.83 = 4,524.66/x
  3. Step 3: Cross multiply
    7,807.89x = 11,722.83 × 4,524.66
  4. Step 4: Simplify right side
    7,807.89x = 53,041,803.02
  5. Step 5: Solve for x
    x = 53,041,803.02/7,807.89
  6. Step 6: Final answer
    x = 6,793.36

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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.