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Finding the Fourth Proportional to 7,574.08, 11,361.12 and 2,956

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Solution

The fourth proportional to 7,574.08, 11,361.12 and 2,956 is: 4,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.08 : 11,361.12 = 2,956 : x
  2. Step 2: Convert to fraction form
    7,574.08/11,361.12 = 2,956/x
  3. Step 3: Cross multiply
    7,574.08x = 11,361.12 × 2,956
  4. Step 4: Simplify right side
    7,574.08x = 33,583,470.72
  5. Step 5: Solve for x
    x = 33,583,470.72/7,574.08
  6. Step 6: Final answer
    x = 4,434

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Why These Related Problems?

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