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Finding the Fourth Proportional to 8,375.06, 12,564.70 and 5,914.70

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Solution

The fourth proportional to 8,375.06, 12,564.70 and 5,914.70 is: 8,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.06 : 12,564.70 = 5,914.70 : x
  2. Step 2: Convert to fraction form
    8,375.06/12,564.70 = 5,914.70/x
  3. Step 3: Cross multiply
    8,375.06x = 12,564.70 × 5,914.70
  4. Step 4: Simplify right side
    8,375.06x = 74,316,431.09
  5. Step 5: Solve for x
    x = 74,316,431.09/8,375.06
  6. Step 6: Final answer
    x = 8,873.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.