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Finding the Fourth Proportional to 7,756.60, 11,629.04 and 3,863.76

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Solution

The fourth proportional to 7,756.60, 11,629.04 and 3,863.76 is: 5,792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.60 : 11,629.04 = 3,863.76 : x
  2. Step 2: Convert to fraction form
    7,756.60/11,629.04 = 3,863.76/x
  3. Step 3: Cross multiply
    7,756.60x = 11,629.04 × 3,863.76
  4. Step 4: Simplify right side
    7,756.60x = 44,931,819.59
  5. Step 5: Solve for x
    x = 44,931,819.59/7,756.60
  6. Step 6: Final answer
    x = 5,792.72

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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.