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Finding the Fourth Proportional to 11,834.81, 16,333.02 and 6,800.01

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Solution

The fourth proportional to 11,834.81, 16,333.02 and 6,800.01 is: 9,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.81 : 16,333.02 = 6,800.01 : x
  2. Step 2: Convert to fraction form
    11,834.81/16,333.02 = 6,800.01/x
  3. Step 3: Cross multiply
    11,834.81x = 16,333.02 × 6,800.01
  4. Step 4: Simplify right side
    11,834.81x = 111,064,638.08
  5. Step 5: Solve for x
    x = 111,064,638.08/11,834.81
  6. Step 6: Final answer
    x = 9,384.57

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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.