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Finding the Fourth Proportional to 11,797.38, 16,280.39 and 6,492.08

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Solution

The fourth proportional to 11,797.38, 16,280.39 and 6,492.08 is: 8,959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.38 : 16,280.39 = 6,492.08 : x
  2. Step 2: Convert to fraction form
    11,797.38/16,280.39 = 6,492.08/x
  3. Step 3: Cross multiply
    11,797.38x = 16,280.39 × 6,492.08
  4. Step 4: Simplify right side
    11,797.38x = 105,693,651.24
  5. Step 5: Solve for x
    x = 105,693,651.24/11,797.38
  6. Step 6: Final answer
    x = 8,959.08

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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.