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Finding the Fourth Proportional to 7,895.44, 11,837.76 and 2,964.16

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Solution

The fourth proportional to 7,895.44, 11,837.76 and 2,964.16 is: 4,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.44 : 11,837.76 = 2,964.16 : x
  2. Step 2: Convert to fraction form
    7,895.44/11,837.76 = 2,964.16/x
  3. Step 3: Cross multiply
    7,895.44x = 11,837.76 × 2,964.16
  4. Step 4: Simplify right side
    7,895.44x = 35,089,014.68
  5. Step 5: Solve for x
    x = 35,089,014.68/7,895.44
  6. Step 6: Final answer
    x = 4,444.21

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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.