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Finding the Fourth Proportional to 11,416.23, 15,759.25 and 6,941.41

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Solution

The fourth proportional to 11,416.23, 15,759.25 and 6,941.41 is: 9,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.23 : 15,759.25 = 6,941.41 : x
  2. Step 2: Convert to fraction form
    11,416.23/15,759.25 = 6,941.41/x
  3. Step 3: Cross multiply
    11,416.23x = 15,759.25 × 6,941.41
  4. Step 4: Simplify right side
    11,416.23x = 109,391,358.79
  5. Step 5: Solve for x
    x = 109,391,358.79/11,416.23
  6. Step 6: Final answer
    x = 9,582.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.