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Finding the Fourth Proportional to 11,634.86, 17,448.12 and 4,237.40

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Solution

The fourth proportional to 11,634.86, 17,448.12 and 4,237.40 is: 6,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.86 : 17,448.12 = 4,237.40 : x
  2. Step 2: Convert to fraction form
    11,634.86/17,448.12 = 4,237.40/x
  3. Step 3: Cross multiply
    11,634.86x = 17,448.12 × 4,237.40
  4. Step 4: Simplify right side
    11,634.86x = 73,934,663.69
  5. Step 5: Solve for x
    x = 73,934,663.69/11,634.86
  6. Step 6: Final answer
    x = 6,354.58

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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.