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Finding the Fourth Proportional to 8,378.12, 11,558.84 and 5,863.08

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Solution

The fourth proportional to 8,378.12, 11,558.84 and 5,863.08 is: 8,088.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.12 : 11,558.84 = 5,863.08 : x
  2. Step 2: Convert to fraction form
    8,378.12/11,558.84 = 5,863.08/x
  3. Step 3: Cross multiply
    8,378.12x = 11,558.84 × 5,863.08
  4. Step 4: Simplify right side
    8,378.12x = 67,770,403.63
  5. Step 5: Solve for x
    x = 67,770,403.63/8,378.12
  6. Step 6: Final answer
    x = 8,088.98

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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.