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Finding the Fourth Proportional to 11,900.22, 17,844.48 and 4,878.33

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Solution

The fourth proportional to 11,900.22, 17,844.48 and 4,878.33 is: 7,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.22 : 17,844.48 = 4,878.33 : x
  2. Step 2: Convert to fraction form
    11,900.22/17,844.48 = 4,878.33/x
  3. Step 3: Cross multiply
    11,900.22x = 17,844.48 × 4,878.33
  4. Step 4: Simplify right side
    11,900.22x = 87,051,262.12
  5. Step 5: Solve for x
    x = 87,051,262.12/11,900.22
  6. Step 6: Final answer
    x = 7,315.10

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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.