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Finding the Fourth Proportional to 11,922.36, 17,877.36 and 4,901.10

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Solution

The fourth proportional to 11,922.36, 17,877.36 and 4,901.10 is: 7,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.36 : 17,877.36 = 4,901.10 : x
  2. Step 2: Convert to fraction form
    11,922.36/17,877.36 = 4,901.10/x
  3. Step 3: Cross multiply
    11,922.36x = 17,877.36 × 4,901.10
  4. Step 4: Simplify right side
    11,922.36x = 87,618,729.10
  5. Step 5: Solve for x
    x = 87,618,729.10/11,922.36
  6. Step 6: Final answer
    x = 7,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.