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Finding the Fourth Proportional to 7,757.94, 11,633.46 and 2,210.03

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Solution

The fourth proportional to 7,757.94, 11,633.46 and 2,210.03 is: 3,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.94 : 11,633.46 = 2,210.03 : x
  2. Step 2: Convert to fraction form
    7,757.94/11,633.46 = 2,210.03/x
  3. Step 3: Cross multiply
    7,757.94x = 11,633.46 × 2,210.03
  4. Step 4: Simplify right side
    7,757.94x = 25,710,237.44
  5. Step 5: Solve for x
    x = 25,710,237.44/7,757.94
  6. Step 6: Final answer
    x = 3,314.05

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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.