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Finding the Fourth Proportional to 8,033.82, 11,078.28 and 7,852.74

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Solution

The fourth proportional to 8,033.82, 11,078.28 and 7,852.74 is: 10,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.82 : 11,078.28 = 7,852.74 : x
  2. Step 2: Convert to fraction form
    8,033.82/11,078.28 = 7,852.74/x
  3. Step 3: Cross multiply
    8,033.82x = 11,078.28 × 7,852.74
  4. Step 4: Simplify right side
    8,033.82x = 86,994,852.49
  5. Step 5: Solve for x
    x = 86,994,852.49/8,033.82
  6. Step 6: Final answer
    x = 10,828.58

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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.