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Finding the Fourth Proportional to 7,748.64, 11,620.05 and 2,817.06

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Solution

The fourth proportional to 7,748.64, 11,620.05 and 2,817.06 is: 4,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.64 : 11,620.05 = 2,817.06 : x
  2. Step 2: Convert to fraction form
    7,748.64/11,620.05 = 2,817.06/x
  3. Step 3: Cross multiply
    7,748.64x = 11,620.05 × 2,817.06
  4. Step 4: Simplify right side
    7,748.64x = 32,734,378.05
  5. Step 5: Solve for x
    x = 32,734,378.05/7,748.64
  6. Step 6: Final answer
    x = 4,224.53

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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.