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Finding the Fourth Proportional to 7,776.44, 11,629.20 and 5,803.46

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Solution

The fourth proportional to 7,776.44, 11,629.20 and 5,803.46 is: 8,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.44 : 11,629.20 = 5,803.46 : x
  2. Step 2: Convert to fraction form
    7,776.44/11,629.20 = 5,803.46/x
  3. Step 3: Cross multiply
    7,776.44x = 11,629.20 × 5,803.46
  4. Step 4: Simplify right side
    7,776.44x = 67,489,597.03
  5. Step 5: Solve for x
    x = 67,489,597.03/7,776.44
  6. Step 6: Final answer
    x = 8,678.73

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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.