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Finding the Fourth Proportional to 7,783.56, 11,669.94 and 3,835.62

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Solution

The fourth proportional to 7,783.56, 11,669.94 and 3,835.62 is: 5,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.56 : 11,669.94 = 3,835.62 : x
  2. Step 2: Convert to fraction form
    7,783.56/11,669.94 = 3,835.62/x
  3. Step 3: Cross multiply
    7,783.56x = 11,669.94 × 3,835.62
  4. Step 4: Simplify right side
    7,783.56x = 44,761,455.26
  5. Step 5: Solve for x
    x = 44,761,455.26/7,783.56
  6. Step 6: Final answer
    x = 5,750.77

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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.