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Finding the Fourth Proportional to 7,705.70, 11,551.51 and 2,774.21

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Solution

The fourth proportional to 7,705.70, 11,551.51 and 2,774.21 is: 4,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.70 : 11,551.51 = 2,774.21 : x
  2. Step 2: Convert to fraction form
    7,705.70/11,551.51 = 2,774.21/x
  3. Step 3: Cross multiply
    7,705.70x = 11,551.51 × 2,774.21
  4. Step 4: Simplify right side
    7,705.70x = 32,046,314.56
  5. Step 5: Solve for x
    x = 32,046,314.56/7,705.70
  6. Step 6: Final answer
    x = 4,158.78

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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.