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Finding the Fourth Proportional to 7,801.84, 11,705.04 and 2,611.36

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Solution

The fourth proportional to 7,801.84, 11,705.04 and 2,611.36 is: 3,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.84 : 11,705.04 = 2,611.36 : x
  2. Step 2: Convert to fraction form
    7,801.84/11,705.04 = 2,611.36/x
  3. Step 3: Cross multiply
    7,801.84x = 11,705.04 × 2,611.36
  4. Step 4: Simplify right side
    7,801.84x = 30,566,073.25
  5. Step 5: Solve for x
    x = 30,566,073.25/7,801.84
  6. Step 6: Final answer
    x = 3,917.80

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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.