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Finding the Fourth Proportional to 11,697.62, 17,558.57 and 6,776.87

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Solution

The fourth proportional to 11,697.62, 17,558.57 and 6,776.87 is: 10,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.62 : 17,558.57 = 6,776.87 : x
  2. Step 2: Convert to fraction form
    11,697.62/17,558.57 = 6,776.87/x
  3. Step 3: Cross multiply
    11,697.62x = 17,558.57 × 6,776.87
  4. Step 4: Simplify right side
    11,697.62x = 118,992,075.43
  5. Step 5: Solve for x
    x = 118,992,075.43/11,697.62
  6. Step 6: Final answer
    x = 10,172.34

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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.