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Finding the Fourth Proportional to 11,803.35, 16,288.62 and 6,498.17

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Solution

The fourth proportional to 11,803.35, 16,288.62 and 6,498.17 is: 8,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.35 : 16,288.62 = 6,498.17 : x
  2. Step 2: Convert to fraction form
    11,803.35/16,288.62 = 6,498.17/x
  3. Step 3: Cross multiply
    11,803.35x = 16,288.62 × 6,498.17
  4. Step 4: Simplify right side
    11,803.35x = 105,846,140.38
  5. Step 5: Solve for x
    x = 105,846,140.38/11,803.35
  6. Step 6: Final answer
    x = 8,967.47

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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.