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Finding the Fourth Proportional to 8,485.35, 11,715.86 and 5,659.40

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Solution

The fourth proportional to 8,485.35, 11,715.86 and 5,659.40 is: 7,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.35 : 11,715.86 = 5,659.40 : x
  2. Step 2: Convert to fraction form
    8,485.35/11,715.86 = 5,659.40/x
  3. Step 3: Cross multiply
    8,485.35x = 11,715.86 × 5,659.40
  4. Step 4: Simplify right side
    8,485.35x = 66,304,738.08
  5. Step 5: Solve for x
    x = 66,304,738.08/8,485.35
  6. Step 6: Final answer
    x = 7,814.03

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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.