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Finding the Fourth Proportional to 7,846.42, 10,828.11 and 4,309.60

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Solution

The fourth proportional to 7,846.42, 10,828.11 and 4,309.60 is: 5,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.42 : 10,828.11 = 4,309.60 : x
  2. Step 2: Convert to fraction form
    7,846.42/10,828.11 = 4,309.60/x
  3. Step 3: Cross multiply
    7,846.42x = 10,828.11 × 4,309.60
  4. Step 4: Simplify right side
    7,846.42x = 46,664,822.86
  5. Step 5: Solve for x
    x = 46,664,822.86/7,846.42
  6. Step 6: Final answer
    x = 5,947.28

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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.