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Finding the Fourth Proportional to 11,645.96, 17,468.94 and 3,852.68

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Solution

The fourth proportional to 11,645.96, 17,468.94 and 3,852.68 is: 5,779.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.96 : 17,468.94 = 3,852.68 : x
  2. Step 2: Convert to fraction form
    11,645.96/17,468.94 = 3,852.68/x
  3. Step 3: Cross multiply
    11,645.96x = 17,468.94 × 3,852.68
  4. Step 4: Simplify right side
    11,645.96x = 67,302,235.76
  5. Step 5: Solve for x
    x = 67,302,235.76/11,645.96
  6. Step 6: Final answer
    x = 5,779.02

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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.