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Finding the Fourth Proportional to 11,846.48, 16,345.22 and 7,246.10

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Solution

The fourth proportional to 11,846.48, 16,345.22 and 7,246.10 is: 9,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.48 : 16,345.22 = 7,246.10 : x
  2. Step 2: Convert to fraction form
    11,846.48/16,345.22 = 7,246.10/x
  3. Step 3: Cross multiply
    11,846.48x = 16,345.22 × 7,246.10
  4. Step 4: Simplify right side
    11,846.48x = 118,439,098.64
  5. Step 5: Solve for x
    x = 118,439,098.64/11,846.48
  6. Step 6: Final answer
    x = 9,997.83

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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.