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Finding the Fourth Proportional to 7,846.22, 10,827.40 and 4,309.49

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Solution

The fourth proportional to 7,846.22, 10,827.40 and 4,309.49 is: 5,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.22 : 10,827.40 = 4,309.49 : x
  2. Step 2: Convert to fraction form
    7,846.22/10,827.40 = 4,309.49/x
  3. Step 3: Cross multiply
    7,846.22x = 10,827.40 × 4,309.49
  4. Step 4: Simplify right side
    7,846.22x = 46,660,572.03
  5. Step 5: Solve for x
    x = 46,660,572.03/7,846.22
  6. Step 6: Final answer
    x = 5,946.89

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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.