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Finding the Fourth Proportional to 7,735.31, 11,599.05 and 3,780.66

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Solution

The fourth proportional to 7,735.31, 11,599.05 and 3,780.66 is: 5,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.31 : 11,599.05 = 3,780.66 : x
  2. Step 2: Convert to fraction form
    7,735.31/11,599.05 = 3,780.66/x
  3. Step 3: Cross multiply
    7,735.31x = 11,599.05 × 3,780.66
  4. Step 4: Simplify right side
    7,735.31x = 43,852,035.54
  5. Step 5: Solve for x
    x = 43,852,035.54/7,735.31
  6. Step 6: Final answer
    x = 5,669.07

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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.