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Finding the Fourth Proportional to 6,054.33, 8,335.67 and 5,166.57

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Solution

The fourth proportional to 6,054.33, 8,335.67 and 5,166.57 is: 7,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.33 : 8,335.67 = 5,166.57 : x
  2. Step 2: Convert to fraction form
    6,054.33/8,335.67 = 5,166.57/x
  3. Step 3: Cross multiply
    6,054.33x = 8,335.67 × 5,166.57
  4. Step 4: Simplify right side
    6,054.33x = 43,066,796.72
  5. Step 5: Solve for x
    x = 43,066,796.72/6,054.33
  6. Step 6: Final answer
    x = 7,113.39

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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.