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Finding the Fourth Proportional to 7,825.60, 11,668.59 and 6,956.27

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Solution

The fourth proportional to 7,825.60, 11,668.59 and 6,956.27 is: 10,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.60 : 11,668.59 = 6,956.27 : x
  2. Step 2: Convert to fraction form
    7,825.60/11,668.59 = 6,956.27/x
  3. Step 3: Cross multiply
    7,825.60x = 11,668.59 × 6,956.27
  4. Step 4: Simplify right side
    7,825.60x = 81,169,860.91
  5. Step 5: Solve for x
    x = 81,169,860.91/7,825.60
  6. Step 6: Final answer
    x = 10,372.35

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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.