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Finding the Fourth Proportional to 8,364.41, 11,546.59 and 5,856.38

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Solution

The fourth proportional to 8,364.41, 11,546.59 and 5,856.38 is: 8,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.41 : 11,546.59 = 5,856.38 : x
  2. Step 2: Convert to fraction form
    8,364.41/11,546.59 = 5,856.38/x
  3. Step 3: Cross multiply
    8,364.41x = 11,546.59 × 5,856.38
  4. Step 4: Simplify right side
    8,364.41x = 67,621,262.25
  5. Step 5: Solve for x
    x = 67,621,262.25/8,364.41
  6. Step 6: Final answer
    x = 8,084.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.