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Finding the Fourth Proportional to 7,792.22, 11,684 and 2,595.26

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Solution

The fourth proportional to 7,792.22, 11,684 and 2,595.26 is: 3,891.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.22 : 11,684 = 2,595.26 : x
  2. Step 2: Convert to fraction form
    7,792.22/11,684 = 2,595.26/x
  3. Step 3: Cross multiply
    7,792.22x = 11,684 × 2,595.26
  4. Step 4: Simplify right side
    7,792.22x = 30,323,017.84
  5. Step 5: Solve for x
    x = 30,323,017.84/7,792.22
  6. Step 6: Final answer
    x = 3,891.45

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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.