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Finding the Fourth Proportional to 7,825.50, 11,668.43 and 6,956.16

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Solution

The fourth proportional to 7,825.50, 11,668.43 and 6,956.16 is: 10,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.50 : 11,668.43 = 6,956.16 : x
  2. Step 2: Convert to fraction form
    7,825.50/11,668.43 = 6,956.16/x
  3. Step 3: Cross multiply
    7,825.50x = 11,668.43 × 6,956.16
  4. Step 4: Simplify right side
    7,825.50x = 81,167,466.03
  5. Step 5: Solve for x
    x = 81,167,466.03/7,825.50
  6. Step 6: Final answer
    x = 10,372.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.