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Finding the Fourth Proportional to 11,813.49, 16,302.92 and 7,274.46

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Solution

The fourth proportional to 11,813.49, 16,302.92 and 7,274.46 is: 10,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.49 : 16,302.92 = 7,274.46 : x
  2. Step 2: Convert to fraction form
    11,813.49/16,302.92 = 7,274.46/x
  3. Step 3: Cross multiply
    11,813.49x = 16,302.92 × 7,274.46
  4. Step 4: Simplify right side
    11,813.49x = 118,594,903.05
  5. Step 5: Solve for x
    x = 118,594,903.05/11,813.49
  6. Step 6: Final answer
    x = 10,038.94

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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.