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Finding the Fourth Proportional to 7,641.07, 11,460.98 and 2,375.87

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Solution

The fourth proportional to 7,641.07, 11,460.98 and 2,375.87 is: 3,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.07 : 11,460.98 = 2,375.87 : x
  2. Step 2: Convert to fraction form
    7,641.07/11,460.98 = 2,375.87/x
  3. Step 3: Cross multiply
    7,641.07x = 11,460.98 × 2,375.87
  4. Step 4: Simplify right side
    7,641.07x = 27,229,747.19
  5. Step 5: Solve for x
    x = 27,229,747.19/7,641.07
  6. Step 6: Final answer
    x = 3,563.61

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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.