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Finding the Fourth Proportional to 11,829.57, 16,323.84 and 6,792.18

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Solution

The fourth proportional to 11,829.57, 16,323.84 and 6,792.18 is: 9,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.57 : 16,323.84 = 6,792.18 : x
  2. Step 2: Convert to fraction form
    11,829.57/16,323.84 = 6,792.18/x
  3. Step 3: Cross multiply
    11,829.57x = 16,323.84 × 6,792.18
  4. Step 4: Simplify right side
    11,829.57x = 110,874,459.57
  5. Step 5: Solve for x
    x = 110,874,459.57/11,829.57
  6. Step 6: Final answer
    x = 9,372.65

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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.