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Finding the Fourth Proportional to 8,168.64, 11,272.56 and 4,631.76

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Solution

The fourth proportional to 8,168.64, 11,272.56 and 4,631.76 is: 6,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,168.64 : 11,272.56 = 4,631.76 : x
  2. Step 2: Convert to fraction form
    8,168.64/11,272.56 = 4,631.76/x
  3. Step 3: Cross multiply
    8,168.64x = 11,272.56 × 4,631.76
  4. Step 4: Simplify right side
    8,168.64x = 52,211,792.51
  5. Step 5: Solve for x
    x = 52,211,792.51/8,168.64
  6. Step 6: Final answer
    x = 6,391.74

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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.