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Finding the Fourth Proportional to 11,858, 16,364.20 and 6,552.94

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Solution

The fourth proportional to 11,858, 16,364.20 and 6,552.94 is: 9,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858 : 16,364.20 = 6,552.94 : x
  2. Step 2: Convert to fraction form
    11,858/16,364.20 = 6,552.94/x
  3. Step 3: Cross multiply
    11,858x = 16,364.20 × 6,552.94
  4. Step 4: Simplify right side
    11,858x = 107,233,620.75
  5. Step 5: Solve for x
    x = 107,233,620.75/11,858
  6. Step 6: Final answer
    x = 9,043.15

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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.