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Finding the Fourth Proportional to 11,575.12, 17,363.64 and 3,783.76

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Solution

The fourth proportional to 11,575.12, 17,363.64 and 3,783.76 is: 5,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.12 : 17,363.64 = 3,783.76 : x
  2. Step 2: Convert to fraction form
    11,575.12/17,363.64 = 3,783.76/x
  3. Step 3: Cross multiply
    11,575.12x = 17,363.64 × 3,783.76
  4. Step 4: Simplify right side
    11,575.12x = 65,699,846.49
  5. Step 5: Solve for x
    x = 65,699,846.49/11,575.12
  6. Step 6: Final answer
    x = 5,675.95

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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.