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Finding the Fourth Proportional to 6,956.37, 10,434.54 and 1,762.23

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Solution

The fourth proportional to 6,956.37, 10,434.54 and 1,762.23 is: 2,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.37 : 10,434.54 = 1,762.23 : x
  2. Step 2: Convert to fraction form
    6,956.37/10,434.54 = 1,762.23/x
  3. Step 3: Cross multiply
    6,956.37x = 10,434.54 × 1,762.23
  4. Step 4: Simplify right side
    6,956.37x = 18,388,059.42
  5. Step 5: Solve for x
    x = 18,388,059.42/6,956.37
  6. Step 6: Final answer
    x = 2,643.34

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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.