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Finding the Fourth Proportional to 10,918.22, 16,375.73 and 5,370.08

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Solution

The fourth proportional to 10,918.22, 16,375.73 and 5,370.08 is: 8,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.22 : 16,375.73 = 5,370.08 : x
  2. Step 2: Convert to fraction form
    10,918.22/16,375.73 = 5,370.08/x
  3. Step 3: Cross multiply
    10,918.22x = 16,375.73 × 5,370.08
  4. Step 4: Simplify right side
    10,918.22x = 87,938,980.16
  5. Step 5: Solve for x
    x = 87,938,980.16/10,918.22
  6. Step 6: Final answer
    x = 8,054.33

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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.