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Finding the Fourth Proportional to 7,165.72, 9,887.81 and 4,182.28

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Solution

The fourth proportional to 7,165.72, 9,887.81 and 4,182.28 is: 5,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.72 : 9,887.81 = 4,182.28 : x
  2. Step 2: Convert to fraction form
    7,165.72/9,887.81 = 4,182.28/x
  3. Step 3: Cross multiply
    7,165.72x = 9,887.81 × 4,182.28
  4. Step 4: Simplify right side
    7,165.72x = 41,353,590.01
  5. Step 5: Solve for x
    x = 41,353,590.01/7,165.72
  6. Step 6: Final answer
    x = 5,771.03

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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.