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Finding the Fourth Proportional to 11,764.58, 17,645.58 and 3,444.68

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Solution

The fourth proportional to 11,764.58, 17,645.58 and 3,444.68 is: 5,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.58 : 17,645.58 = 3,444.68 : x
  2. Step 2: Convert to fraction form
    11,764.58/17,645.58 = 3,444.68/x
  3. Step 3: Cross multiply
    11,764.58x = 17,645.58 × 3,444.68
  4. Step 4: Simplify right side
    11,764.58x = 60,783,314.11
  5. Step 5: Solve for x
    x = 60,783,314.11/11,764.58
  6. Step 6: Final answer
    x = 5,166.64

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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.