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Finding the Fourth Proportional to 8,502.64, 11,629.35 and 8,366.56

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Solution

The fourth proportional to 8,502.64, 11,629.35 and 8,366.56 is: 11,443.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.64 : 11,629.35 = 8,366.56 : x
  2. Step 2: Convert to fraction form
    8,502.64/11,629.35 = 8,366.56/x
  3. Step 3: Cross multiply
    8,502.64x = 11,629.35 × 8,366.56
  4. Step 4: Simplify right side
    8,502.64x = 97,297,612.70
  5. Step 5: Solve for x
    x = 97,297,612.70/8,502.64
  6. Step 6: Final answer
    x = 11,443.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.