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Finding the Fourth Proportional to 7,842.35, 11,761.00 and 2,575.94

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Solution

The fourth proportional to 7,842.35, 11,761.00 and 2,575.94 is: 3,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.35 : 11,761.00 = 2,575.94 : x
  2. Step 2: Convert to fraction form
    7,842.35/11,761.00 = 2,575.94/x
  3. Step 3: Cross multiply
    7,842.35x = 11,761.00 × 2,575.94
  4. Step 4: Simplify right side
    7,842.35x = 30,295,565.10
  5. Step 5: Solve for x
    x = 30,295,565.10/7,842.35
  6. Step 6: Final answer
    x = 3,863.07

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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.