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Finding the Fourth Proportional to 11,894.72, 17,842.25 and 5,655.37

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Solution

The fourth proportional to 11,894.72, 17,842.25 and 5,655.37 is: 8,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.72 : 17,842.25 = 5,655.37 : x
  2. Step 2: Convert to fraction form
    11,894.72/17,842.25 = 5,655.37/x
  3. Step 3: Cross multiply
    11,894.72x = 17,842.25 × 5,655.37
  4. Step 4: Simplify right side
    11,894.72x = 100,904,497.11
  5. Step 5: Solve for x
    x = 100,904,497.11/11,894.72
  6. Step 6: Final answer
    x = 8,483.14

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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.