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Finding the Fourth Proportional to 7,705.17, 11,557.80 and 2,775.60

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Solution

The fourth proportional to 7,705.17, 11,557.80 and 2,775.60 is: 4,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.17 : 11,557.80 = 2,775.60 : x
  2. Step 2: Convert to fraction form
    7,705.17/11,557.80 = 2,775.60/x
  3. Step 3: Cross multiply
    7,705.17x = 11,557.80 × 2,775.60
  4. Step 4: Simplify right side
    7,705.17x = 32,079,829.68
  5. Step 5: Solve for x
    x = 32,079,829.68/7,705.17
  6. Step 6: Final answer
    x = 4,163.42

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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.