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Finding the Fourth Proportional to 8,597.05, 11,863.18 and 5,409.29

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Solution

The fourth proportional to 8,597.05, 11,863.18 and 5,409.29 is: 7,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.05 : 11,863.18 = 5,409.29 : x
  2. Step 2: Convert to fraction form
    8,597.05/11,863.18 = 5,409.29/x
  3. Step 3: Cross multiply
    8,597.05x = 11,863.18 × 5,409.29
  4. Step 4: Simplify right side
    8,597.05x = 64,171,380.94
  5. Step 5: Solve for x
    x = 64,171,380.94/8,597.05
  6. Step 6: Final answer
    x = 7,464.35

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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.