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Finding the Fourth Proportional to 11,597.80, 17,393.18 and 3,277.16

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Solution

The fourth proportional to 11,597.80, 17,393.18 and 3,277.16 is: 4,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.80 : 17,393.18 = 3,277.16 : x
  2. Step 2: Convert to fraction form
    11,597.80/17,393.18 = 3,277.16/x
  3. Step 3: Cross multiply
    11,597.80x = 17,393.18 × 3,277.16
  4. Step 4: Simplify right side
    11,597.80x = 57,000,233.77
  5. Step 5: Solve for x
    x = 57,000,233.77/11,597.80
  6. Step 6: Final answer
    x = 4,914.75

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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.