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Finding the Fourth Proportional to 11,575.62, 17,366.22 and 3,784.50

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Solution

The fourth proportional to 11,575.62, 17,366.22 and 3,784.50 is: 5,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.62 : 17,366.22 = 3,784.50 : x
  2. Step 2: Convert to fraction form
    11,575.62/17,366.22 = 3,784.50/x
  3. Step 3: Cross multiply
    11,575.62x = 17,366.22 × 3,784.50
  4. Step 4: Simplify right side
    11,575.62x = 65,722,459.59
  5. Step 5: Solve for x
    x = 65,722,459.59/11,575.62
  6. Step 6: Final answer
    x = 5,677.66

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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.