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Finding the Fourth Proportional to 7,852.21, 11,777.10 and 7,418.46

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Solution

The fourth proportional to 7,852.21, 11,777.10 and 7,418.46 is: 11,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.21 : 11,777.10 = 7,418.46 : x
  2. Step 2: Convert to fraction form
    7,852.21/11,777.10 = 7,418.46/x
  3. Step 3: Cross multiply
    7,852.21x = 11,777.10 × 7,418.46
  4. Step 4: Simplify right side
    7,852.21x = 87,367,945.27
  5. Step 5: Solve for x
    x = 87,367,945.27/7,852.21
  6. Step 6: Final answer
    x = 11,126.54

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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.