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Finding the Fourth Proportional to 11,374.02, 17,064.27 and 8,257.14

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Solution

The fourth proportional to 11,374.02, 17,064.27 and 8,257.14 is: 12,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.02 : 17,064.27 = 8,257.14 : x
  2. Step 2: Convert to fraction form
    11,374.02/17,064.27 = 8,257.14/x
  3. Step 3: Cross multiply
    11,374.02x = 17,064.27 × 8,257.14
  4. Step 4: Simplify right side
    11,374.02x = 140,902,066.39
  5. Step 5: Solve for x
    x = 140,902,066.39/11,374.02
  6. Step 6: Final answer
    x = 12,388.06

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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.