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Finding the Fourth Proportional to 8,286.29, 11,436.96 and 7,445.51

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Solution

The fourth proportional to 8,286.29, 11,436.96 and 7,445.51 is: 10,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.29 : 11,436.96 = 7,445.51 : x
  2. Step 2: Convert to fraction form
    8,286.29/11,436.96 = 7,445.51/x
  3. Step 3: Cross multiply
    8,286.29x = 11,436.96 × 7,445.51
  4. Step 4: Simplify right side
    8,286.29x = 85,154,000.05
  5. Step 5: Solve for x
    x = 85,154,000.05/8,286.29
  6. Step 6: Final answer
    x = 10,276.49

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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.