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Finding the Fourth Proportional to 7,342.88, 11,014.56 and 2,412.44

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Solution

The fourth proportional to 7,342.88, 11,014.56 and 2,412.44 is: 3,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.88 : 11,014.56 = 2,412.44 : x
  2. Step 2: Convert to fraction form
    7,342.88/11,014.56 = 2,412.44/x
  3. Step 3: Cross multiply
    7,342.88x = 11,014.56 × 2,412.44
  4. Step 4: Simplify right side
    7,342.88x = 26,571,965.13
  5. Step 5: Solve for x
    x = 26,571,965.13/7,342.88
  6. Step 6: Final answer
    x = 3,618.74

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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.