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Finding the Fourth Proportional to 11,604.87, 17,400.35 and 4,206.80

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Solution

The fourth proportional to 11,604.87, 17,400.35 and 4,206.80 is: 6,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.87 : 17,400.35 = 4,206.80 : x
  2. Step 2: Convert to fraction form
    11,604.87/17,400.35 = 4,206.80/x
  3. Step 3: Cross multiply
    11,604.87x = 17,400.35 × 4,206.80
  4. Step 4: Simplify right side
    11,604.87x = 73,199,846.40
  5. Step 5: Solve for x
    x = 73,199,846.40/11,604.87
  6. Step 6: Final answer
    x = 6,307.68

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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.