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Finding the Fourth Proportional to 7,284.44, 10,054.18 and 5,157.75

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Solution

The fourth proportional to 7,284.44, 10,054.18 and 5,157.75 is: 7,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.44 : 10,054.18 = 5,157.75 : x
  2. Step 2: Convert to fraction form
    7,284.44/10,054.18 = 5,157.75/x
  3. Step 3: Cross multiply
    7,284.44x = 10,054.18 × 5,157.75
  4. Step 4: Simplify right side
    7,284.44x = 51,856,946.90
  5. Step 5: Solve for x
    x = 51,856,946.90/7,284.44
  6. Step 6: Final answer
    x = 7,118.87

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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.