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Finding the Fourth Proportional to 11,852.16, 17,781.12 and 3,531.84

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Solution

The fourth proportional to 11,852.16, 17,781.12 and 3,531.84 is: 5,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.16 : 17,781.12 = 3,531.84 : x
  2. Step 2: Convert to fraction form
    11,852.16/17,781.12 = 3,531.84/x
  3. Step 3: Cross multiply
    11,852.16x = 17,781.12 × 3,531.84
  4. Step 4: Simplify right side
    11,852.16x = 62,800,070.86
  5. Step 5: Solve for x
    x = 62,800,070.86/11,852.16
  6. Step 6: Final answer
    x = 5,298.62

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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.