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Finding the Fourth Proportional to 6,954.32, 10,428.24 and 4,033.46

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Solution

The fourth proportional to 6,954.32, 10,428.24 and 4,033.46 is: 6,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.32 : 10,428.24 = 4,033.46 : x
  2. Step 2: Convert to fraction form
    6,954.32/10,428.24 = 4,033.46/x
  3. Step 3: Cross multiply
    6,954.32x = 10,428.24 × 4,033.46
  4. Step 4: Simplify right side
    6,954.32x = 42,061,888.91
  5. Step 5: Solve for x
    x = 42,061,888.91/6,954.32
  6. Step 6: Final answer
    x = 6,048.31

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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.