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Finding the Fourth Proportional to 11,909.96, 17,852.34 and 4,004.95

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Solution

The fourth proportional to 11,909.96, 17,852.34 and 4,004.95 is: 6,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.96 : 17,852.34 = 4,004.95 : x
  2. Step 2: Convert to fraction form
    11,909.96/17,852.34 = 4,004.95/x
  3. Step 3: Cross multiply
    11,909.96x = 17,852.34 × 4,004.95
  4. Step 4: Simplify right side
    11,909.96x = 71,497,639.82
  5. Step 5: Solve for x
    x = 71,497,639.82/11,909.96
  6. Step 6: Final answer
    x = 6,003.18

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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.