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Finding the Fourth Proportional to 7,871.33, 11,809.04 and 3,487.74

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Solution

The fourth proportional to 7,871.33, 11,809.04 and 3,487.74 is: 5,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.33 : 11,809.04 = 3,487.74 : x
  2. Step 2: Convert to fraction form
    7,871.33/11,809.04 = 3,487.74/x
  3. Step 3: Cross multiply
    7,871.33x = 11,809.04 × 3,487.74
  4. Step 4: Simplify right side
    7,871.33x = 41,186,843.73
  5. Step 5: Solve for x
    x = 41,186,843.73/7,871.33
  6. Step 6: Final answer
    x = 5,232.52

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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.