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Finding the Fourth Proportional to 7,852.44, 10,830.78 and 5,198.52

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Solution

The fourth proportional to 7,852.44, 10,830.78 and 5,198.52 is: 7,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.44 : 10,830.78 = 5,198.52 : x
  2. Step 2: Convert to fraction form
    7,852.44/10,830.78 = 5,198.52/x
  3. Step 3: Cross multiply
    7,852.44x = 10,830.78 × 5,198.52
  4. Step 4: Simplify right side
    7,852.44x = 56,304,026.45
  5. Step 5: Solve for x
    x = 56,304,026.45/7,852.44
  6. Step 6: Final answer
    x = 7,170.26

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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.