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Finding the Fourth Proportional to 7,846.36, 10,828.06 and 4,309.65

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Solution

The fourth proportional to 7,846.36, 10,828.06 and 4,309.65 is: 5,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.36 : 10,828.06 = 4,309.65 : x
  2. Step 2: Convert to fraction form
    7,846.36/10,828.06 = 4,309.65/x
  3. Step 3: Cross multiply
    7,846.36x = 10,828.06 × 4,309.65
  4. Step 4: Simplify right side
    7,846.36x = 46,665,148.78
  5. Step 5: Solve for x
    x = 46,665,148.78/7,846.36
  6. Step 6: Final answer
    x = 5,947.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.