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Finding the Fourth Proportional to 7,850.52, 11,777.60 and 2,303.84

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Solution

The fourth proportional to 7,850.52, 11,777.60 and 2,303.84 is: 3,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.52 : 11,777.60 = 2,303.84 : x
  2. Step 2: Convert to fraction form
    7,850.52/11,777.60 = 2,303.84/x
  3. Step 3: Cross multiply
    7,850.52x = 11,777.60 × 2,303.84
  4. Step 4: Simplify right side
    7,850.52x = 27,133,705.98
  5. Step 5: Solve for x
    x = 27,133,705.98/7,850.52
  6. Step 6: Final answer
    x = 3,456.29

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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.