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Finding the Fourth Proportional to 7,699.84, 11,553.60 and 2,770.58

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Solution

The fourth proportional to 7,699.84, 11,553.60 and 2,770.58 is: 4,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.84 : 11,553.60 = 2,770.58 : x
  2. Step 2: Convert to fraction form
    7,699.84/11,553.60 = 2,770.58/x
  3. Step 3: Cross multiply
    7,699.84x = 11,553.60 × 2,770.58
  4. Step 4: Simplify right side
    7,699.84x = 32,010,173.09
  5. Step 5: Solve for x
    x = 32,010,173.09/7,699.84
  6. Step 6: Final answer
    x = 4,157.25

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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.