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Finding the Fourth Proportional to 11,597.38, 17,397.39 and 3,697.10

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Solution

The fourth proportional to 11,597.38, 17,397.39 and 3,697.10 is: 5,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.38 : 17,397.39 = 3,697.10 : x
  2. Step 2: Convert to fraction form
    11,597.38/17,397.39 = 3,697.10/x
  3. Step 3: Cross multiply
    11,597.38x = 17,397.39 × 3,697.10
  4. Step 4: Simplify right side
    11,597.38x = 64,319,890.57
  5. Step 5: Solve for x
    x = 64,319,890.57/11,597.38
  6. Step 6: Final answer
    x = 5,546.07

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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.