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Finding the Fourth Proportional to 7,798.70, 11,698.64 and 2,604.57

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Solution

The fourth proportional to 7,798.70, 11,698.64 and 2,604.57 is: 3,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.70 : 11,698.64 = 2,604.57 : x
  2. Step 2: Convert to fraction form
    7,798.70/11,698.64 = 2,604.57/x
  3. Step 3: Cross multiply
    7,798.70x = 11,698.64 × 2,604.57
  4. Step 4: Simplify right side
    7,798.70x = 30,469,913.76
  5. Step 5: Solve for x
    x = 30,469,913.76/7,798.70
  6. Step 6: Final answer
    x = 3,907.05

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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.