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Finding the Fourth Proportional to 11,995.37, 16,549.16 and 6,956.77

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Solution

The fourth proportional to 11,995.37, 16,549.16 and 6,956.77 is: 9,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.37 : 16,549.16 = 6,956.77 : x
  2. Step 2: Convert to fraction form
    11,995.37/16,549.16 = 6,956.77/x
  3. Step 3: Cross multiply
    11,995.37x = 16,549.16 × 6,956.77
  4. Step 4: Simplify right side
    11,995.37x = 115,128,623.66
  5. Step 5: Solve for x
    x = 115,128,623.66/11,995.37
  6. Step 6: Final answer
    x = 9,597.75

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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.