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Finding the Fourth Proportional to 8,205.16, 11,295.73 and 7,828.56

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Solution

The fourth proportional to 8,205.16, 11,295.73 and 7,828.56 is: 10,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.16 : 11,295.73 = 7,828.56 : x
  2. Step 2: Convert to fraction form
    8,205.16/11,295.73 = 7,828.56/x
  3. Step 3: Cross multiply
    8,205.16x = 11,295.73 × 7,828.56
  4. Step 4: Simplify right side
    8,205.16x = 88,429,300.05
  5. Step 5: Solve for x
    x = 88,429,300.05/8,205.16
  6. Step 6: Final answer
    x = 10,777.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.