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Finding the Fourth Proportional to 11,697.40, 17,535.30 and 4,297.78

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Solution

The fourth proportional to 11,697.40, 17,535.30 and 4,297.78 is: 6,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.40 : 17,535.30 = 4,297.78 : x
  2. Step 2: Convert to fraction form
    11,697.40/17,535.30 = 4,297.78/x
  3. Step 3: Cross multiply
    11,697.40x = 17,535.30 × 4,297.78
  4. Step 4: Simplify right side
    11,697.40x = 75,362,861.63
  5. Step 5: Solve for x
    x = 75,362,861.63/11,697.40
  6. Step 6: Final answer
    x = 6,442.70

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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.