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Finding the Fourth Proportional to 7,449.68, 11,164.44 and 2,830.16

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Solution

The fourth proportional to 7,449.68, 11,164.44 and 2,830.16 is: 4,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.68 : 11,164.44 = 2,830.16 : x
  2. Step 2: Convert to fraction form
    7,449.68/11,164.44 = 2,830.16/x
  3. Step 3: Cross multiply
    7,449.68x = 11,164.44 × 2,830.16
  4. Step 4: Simplify right side
    7,449.68x = 31,597,151.51
  5. Step 5: Solve for x
    x = 31,597,151.51/7,449.68
  6. Step 6: Final answer
    x = 4,241.41

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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.