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Finding the Fourth Proportional to 7,305.54, 10,082.52 and 4,162.34

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Solution

The fourth proportional to 7,305.54, 10,082.52 and 4,162.34 is: 5,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.54 : 10,082.52 = 4,162.34 : x
  2. Step 2: Convert to fraction form
    7,305.54/10,082.52 = 4,162.34/x
  3. Step 3: Cross multiply
    7,305.54x = 10,082.52 × 4,162.34
  4. Step 4: Simplify right side
    7,305.54x = 41,966,825.88
  5. Step 5: Solve for x
    x = 41,966,825.88/7,305.54
  6. Step 6: Final answer
    x = 5,744.52

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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.