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Finding the Fourth Proportional to 7,111.89, 10,670.27 and 3,165.57

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Solution

The fourth proportional to 7,111.89, 10,670.27 and 3,165.57 is: 4,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.89 : 10,670.27 = 3,165.57 : x
  2. Step 2: Convert to fraction form
    7,111.89/10,670.27 = 3,165.57/x
  3. Step 3: Cross multiply
    7,111.89x = 10,670.27 × 3,165.57
  4. Step 4: Simplify right side
    7,111.89x = 33,777,470.78
  5. Step 5: Solve for x
    x = 33,777,470.78/7,111.89
  6. Step 6: Final answer
    x = 4,749.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.