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Finding the Fourth Proportional to 10,367.60, 15,546.84 and 3,792.08

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Solution

The fourth proportional to 10,367.60, 15,546.84 and 3,792.08 is: 5,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.60 : 15,546.84 = 3,792.08 : x
  2. Step 2: Convert to fraction form
    10,367.60/15,546.84 = 3,792.08/x
  3. Step 3: Cross multiply
    10,367.60x = 15,546.84 × 3,792.08
  4. Step 4: Simplify right side
    10,367.60x = 58,954,861.03
  5. Step 5: Solve for x
    x = 58,954,861.03/10,367.60
  6. Step 6: Final answer
    x = 5,686.45

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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.