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Finding the Fourth Proportional to 11,833.70, 16,330.53 and 6,798.90

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Solution

The fourth proportional to 11,833.70, 16,330.53 and 6,798.90 is: 9,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.70 : 16,330.53 = 6,798.90 : x
  2. Step 2: Convert to fraction form
    11,833.70/16,330.53 = 6,798.90/x
  3. Step 3: Cross multiply
    11,833.70x = 16,330.53 × 6,798.90
  4. Step 4: Simplify right side
    11,833.70x = 111,029,640.42
  5. Step 5: Solve for x
    x = 111,029,640.42/11,833.70
  6. Step 6: Final answer
    x = 9,382.50

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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.