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Finding the Fourth Proportional to 7,164.64, 9,887.16 and 4,180.24

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Solution

The fourth proportional to 7,164.64, 9,887.16 and 4,180.24 is: 5,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.64 : 9,887.16 = 4,180.24 : x
  2. Step 2: Convert to fraction form
    7,164.64/9,887.16 = 4,180.24/x
  3. Step 3: Cross multiply
    7,164.64x = 9,887.16 × 4,180.24
  4. Step 4: Simplify right side
    7,164.64x = 41,330,701.72
  5. Step 5: Solve for x
    x = 41,330,701.72/7,164.64
  6. Step 6: Final answer
    x = 5,768.71

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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.