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Finding the Fourth Proportional to 7,083.60, 9,775.26 and 3,896.75

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Solution

The fourth proportional to 7,083.60, 9,775.26 and 3,896.75 is: 5,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.60 : 9,775.26 = 3,896.75 : x
  2. Step 2: Convert to fraction form
    7,083.60/9,775.26 = 3,896.75/x
  3. Step 3: Cross multiply
    7,083.60x = 9,775.26 × 3,896.75
  4. Step 4: Simplify right side
    7,083.60x = 38,091,695.53
  5. Step 5: Solve for x
    x = 38,091,695.53/7,083.60
  6. Step 6: Final answer
    x = 5,377.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.