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Finding the Fourth Proportional to 7,865.58, 11,800.89 and 3,914.22

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Solution

The fourth proportional to 7,865.58, 11,800.89 and 3,914.22 is: 5,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.58 : 11,800.89 = 3,914.22 : x
  2. Step 2: Convert to fraction form
    7,865.58/11,800.89 = 3,914.22/x
  3. Step 3: Cross multiply
    7,865.58x = 11,800.89 × 3,914.22
  4. Step 4: Simplify right side
    7,865.58x = 46,191,279.66
  5. Step 5: Solve for x
    x = 46,191,279.66/7,865.58
  6. Step 6: Final answer
    x = 5,872.58

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