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Finding the Fourth Proportional to 7,804.35, 11,698.97 and 2,872.67

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Solution

The fourth proportional to 7,804.35, 11,698.97 and 2,872.67 is: 4,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.35 : 11,698.97 = 2,872.67 : x
  2. Step 2: Convert to fraction form
    7,804.35/11,698.97 = 2,872.67/x
  3. Step 3: Cross multiply
    7,804.35x = 11,698.97 × 2,872.67
  4. Step 4: Simplify right side
    7,804.35x = 33,607,207.29
  5. Step 5: Solve for x
    x = 33,607,207.29/7,804.35
  6. Step 6: Final answer
    x = 4,306.21

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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.