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Finding the Fourth Proportional to 11,838.30, 16,342.76 and 7,363.48

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Solution

The fourth proportional to 11,838.30, 16,342.76 and 7,363.48 is: 10,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.30 : 16,342.76 = 7,363.48 : x
  2. Step 2: Convert to fraction form
    11,838.30/16,342.76 = 7,363.48/x
  3. Step 3: Cross multiply
    11,838.30x = 16,342.76 × 7,363.48
  4. Step 4: Simplify right side
    11,838.30x = 120,339,586.40
  5. Step 5: Solve for x
    x = 120,339,586.40/11,838.30
  6. Step 6: Final answer
    x = 10,165.28

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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.