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Finding the Fourth Proportional to 7,792.56, 11,689.38 and 2,245.68

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Solution

The fourth proportional to 7,792.56, 11,689.38 and 2,245.68 is: 3,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.56 : 11,689.38 = 2,245.68 : x
  2. Step 2: Convert to fraction form
    7,792.56/11,689.38 = 2,245.68/x
  3. Step 3: Cross multiply
    7,792.56x = 11,689.38 × 2,245.68
  4. Step 4: Simplify right side
    7,792.56x = 26,250,606.88
  5. Step 5: Solve for x
    x = 26,250,606.88/7,792.56
  6. Step 6: Final answer
    x = 3,368.68

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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.