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Finding the Fourth Proportional to 11,803.60, 16,288.38 and 6,498.28

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Solution

The fourth proportional to 11,803.60, 16,288.38 and 6,498.28 is: 8,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.60 : 16,288.38 = 6,498.28 : x
  2. Step 2: Convert to fraction form
    11,803.60/16,288.38 = 6,498.28/x
  3. Step 3: Cross multiply
    11,803.60x = 16,288.38 × 6,498.28
  4. Step 4: Simplify right side
    11,803.60x = 105,846,453.99
  5. Step 5: Solve for x
    x = 105,846,453.99/11,803.60
  6. Step 6: Final answer
    x = 8,967.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.