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Finding the Fourth Proportional to 6,956.34, 10,434.56 and 1,762.24

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Solution

The fourth proportional to 6,956.34, 10,434.56 and 1,762.24 is: 2,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.34 : 10,434.56 = 1,762.24 : x
  2. Step 2: Convert to fraction form
    6,956.34/10,434.56 = 1,762.24/x
  3. Step 3: Cross multiply
    6,956.34x = 10,434.56 × 1,762.24
  4. Step 4: Simplify right side
    6,956.34x = 18,388,199.01
  5. Step 5: Solve for x
    x = 18,388,199.01/6,956.34
  6. Step 6: Final answer
    x = 2,643.37

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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.