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Finding the Fourth Proportional to 7,376.20, 11,064 and 1,829.56

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Solution

The fourth proportional to 7,376.20, 11,064 and 1,829.56 is: 2,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,376.20 : 11,064 = 1,829.56 : x
  2. Step 2: Convert to fraction form
    7,376.20/11,064 = 1,829.56/x
  3. Step 3: Cross multiply
    7,376.20x = 11,064 × 1,829.56
  4. Step 4: Simplify right side
    7,376.20x = 20,242,251.84
  5. Step 5: Solve for x
    x = 20,242,251.84/7,376.20
  6. Step 6: Final answer
    x = 2,744.27

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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.