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Finding the Fourth Proportional to 7,164.89, 9,887.51 and 4,180.85

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Solution

The fourth proportional to 7,164.89, 9,887.51 and 4,180.85 is: 5,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.89 : 9,887.51 = 4,180.85 : x
  2. Step 2: Convert to fraction form
    7,164.89/9,887.51 = 4,180.85/x
  3. Step 3: Cross multiply
    7,164.89x = 9,887.51 × 4,180.85
  4. Step 4: Simplify right side
    7,164.89x = 41,338,157.20
  5. Step 5: Solve for x
    x = 41,338,157.20/7,164.89
  6. Step 6: Final answer
    x = 5,769.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.