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Finding the Fourth Proportional to 7,757.65, 10,705.44 and 4,220.83

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Solution

The fourth proportional to 7,757.65, 10,705.44 and 4,220.83 is: 5,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.65 : 10,705.44 = 4,220.83 : x
  2. Step 2: Convert to fraction form
    7,757.65/10,705.44 = 4,220.83/x
  3. Step 3: Cross multiply
    7,757.65x = 10,705.44 × 4,220.83
  4. Step 4: Simplify right side
    7,757.65x = 45,185,842.32
  5. Step 5: Solve for x
    x = 45,185,842.32/7,757.65
  6. Step 6: Final answer
    x = 5,824.68

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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.