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Finding the Fourth Proportional to 7,705.88, 11,558.64 and 2,511.80

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Solution

The fourth proportional to 7,705.88, 11,558.64 and 2,511.80 is: 3,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.88 : 11,558.64 = 2,511.80 : x
  2. Step 2: Convert to fraction form
    7,705.88/11,558.64 = 2,511.80/x
  3. Step 3: Cross multiply
    7,705.88x = 11,558.64 × 2,511.80
  4. Step 4: Simplify right side
    7,705.88x = 29,032,991.95
  5. Step 5: Solve for x
    x = 29,032,991.95/7,705.88
  6. Step 6: Final answer
    x = 3,767.64

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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.