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Finding the Fourth Proportional to 11,513.73, 15,884.97 and 6,477.15

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Solution

The fourth proportional to 11,513.73, 15,884.97 and 6,477.15 is: 8,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.73 : 15,884.97 = 6,477.15 : x
  2. Step 2: Convert to fraction form
    11,513.73/15,884.97 = 6,477.15/x
  3. Step 3: Cross multiply
    11,513.73x = 15,884.97 × 6,477.15
  4. Step 4: Simplify right side
    11,513.73x = 102,889,389.34
  5. Step 5: Solve for x
    x = 102,889,389.34/11,513.73
  6. Step 6: Final answer
    x = 8,936.23

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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.