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Finding the Fourth Proportional to 11,858.96, 17,762.52 and 5,690

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Solution

The fourth proportional to 11,858.96, 17,762.52 and 5,690 is: 8,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.96 : 17,762.52 = 5,690 : x
  2. Step 2: Convert to fraction form
    11,858.96/17,762.52 = 5,690/x
  3. Step 3: Cross multiply
    11,858.96x = 17,762.52 × 5,690
  4. Step 4: Simplify right side
    11,858.96x = 101,068,738.80
  5. Step 5: Solve for x
    x = 101,068,738.80/11,858.96
  6. Step 6: Final answer
    x = 8,522.56

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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.