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Finding the Fourth Proportional to 7,837.44, 10,817.28 and 4,480.08

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Solution

The fourth proportional to 7,837.44, 10,817.28 and 4,480.08 is: 6,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.44 : 10,817.28 = 4,480.08 : x
  2. Step 2: Convert to fraction form
    7,837.44/10,817.28 = 4,480.08/x
  3. Step 3: Cross multiply
    7,837.44x = 10,817.28 × 4,480.08
  4. Step 4: Simplify right side
    7,837.44x = 48,462,279.78
  5. Step 5: Solve for x
    x = 48,462,279.78/7,837.44
  6. Step 6: Final answer
    x = 6,183.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.