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Finding the Fourth Proportional to 7,474.36, 10,305.48 and 4,675

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Solution

The fourth proportional to 7,474.36, 10,305.48 and 4,675 is: 6,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.36 : 10,305.48 = 4,675 : x
  2. Step 2: Convert to fraction form
    7,474.36/10,305.48 = 4,675/x
  3. Step 3: Cross multiply
    7,474.36x = 10,305.48 × 4,675
  4. Step 4: Simplify right side
    7,474.36x = 48,178,119
  5. Step 5: Solve for x
    x = 48,178,119/7,474.36
  6. Step 6: Final answer
    x = 6,445.79

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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.