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Finding the Fourth Proportional to 7,165.46, 10,746.36 and 2,232.56

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Solution

The fourth proportional to 7,165.46, 10,746.36 and 2,232.56 is: 3,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.46 : 10,746.36 = 2,232.56 : x
  2. Step 2: Convert to fraction form
    7,165.46/10,746.36 = 2,232.56/x
  3. Step 3: Cross multiply
    7,165.46x = 10,746.36 × 2,232.56
  4. Step 4: Simplify right side
    7,165.46x = 23,991,920.35
  5. Step 5: Solve for x
    x = 23,991,920.35/7,165.46
  6. Step 6: Final answer
    x = 3,348.27

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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.