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Finding the Fourth Proportional to 11,597.49, 17,396.95 and 3,278.14

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Solution

The fourth proportional to 11,597.49, 17,396.95 and 3,278.14 is: 4,917.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.49 : 17,396.95 = 3,278.14 : x
  2. Step 2: Convert to fraction form
    11,597.49/17,396.95 = 3,278.14/x
  3. Step 3: Cross multiply
    11,597.49x = 17,396.95 × 3,278.14
  4. Step 4: Simplify right side
    11,597.49x = 57,029,637.67
  5. Step 5: Solve for x
    x = 57,029,637.67/11,597.49
  6. Step 6: Final answer
    x = 4,917.41

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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.