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Finding the Fourth Proportional to 11,630.86, 17,448.91 and 4,235.38

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Solution

The fourth proportional to 11,630.86, 17,448.91 and 4,235.38 is: 6,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.86 : 17,448.91 = 4,235.38 : x
  2. Step 2: Convert to fraction form
    11,630.86/17,448.91 = 4,235.38/x
  3. Step 3: Cross multiply
    11,630.86x = 17,448.91 × 4,235.38
  4. Step 4: Simplify right side
    11,630.86x = 73,902,710.23
  5. Step 5: Solve for x
    x = 73,902,710.23/11,630.86
  6. Step 6: Final answer
    x = 6,354.02

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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.