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Finding the Fourth Proportional to 11,549.36, 15,939.06 and 6,513.32

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Solution

The fourth proportional to 11,549.36, 15,939.06 and 6,513.32 is: 8,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.36 : 15,939.06 = 6,513.32 : x
  2. Step 2: Convert to fraction form
    11,549.36/15,939.06 = 6,513.32/x
  3. Step 3: Cross multiply
    11,549.36x = 15,939.06 × 6,513.32
  4. Step 4: Simplify right side
    11,549.36x = 103,816,198.28
  5. Step 5: Solve for x
    x = 103,816,198.28/11,549.36
  6. Step 6: Final answer
    x = 8,988.91

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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.