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Finding the Fourth Proportional to 11,901.42, 16,423.68 and 6,865.65

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Solution

The fourth proportional to 11,901.42, 16,423.68 and 6,865.65 is: 9,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.42 : 16,423.68 = 6,865.65 : x
  2. Step 2: Convert to fraction form
    11,901.42/16,423.68 = 6,865.65/x
  3. Step 3: Cross multiply
    11,901.42x = 16,423.68 × 6,865.65
  4. Step 4: Simplify right side
    11,901.42x = 112,759,238.59
  5. Step 5: Solve for x
    x = 112,759,238.59/11,901.42
  6. Step 6: Final answer
    x = 9,474.44

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