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Finding the Fourth Proportional to 11,803.56, 16,288.74 and 6,498.24

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Solution

The fourth proportional to 11,803.56, 16,288.74 and 6,498.24 is: 8,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.56 : 16,288.74 = 6,498.24 : x
  2. Step 2: Convert to fraction form
    11,803.56/16,288.74 = 6,498.24/x
  3. Step 3: Cross multiply
    11,803.56x = 16,288.74 × 6,498.24
  4. Step 4: Simplify right side
    11,803.56x = 105,848,141.82
  5. Step 5: Solve for x
    x = 105,848,141.82/11,803.56
  6. Step 6: Final answer
    x = 8,967.48

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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.