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Finding the Fourth Proportional to 11,835.69, 17,756.94 and 3,830.28

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Solution

The fourth proportional to 11,835.69, 17,756.94 and 3,830.28 is: 5,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.69 : 17,756.94 = 3,830.28 : x
  2. Step 2: Convert to fraction form
    11,835.69/17,756.94 = 3,830.28/x
  3. Step 3: Cross multiply
    11,835.69x = 17,756.94 × 3,830.28
  4. Step 4: Simplify right side
    11,835.69x = 68,014,052.14
  5. Step 5: Solve for x
    x = 68,014,052.14/11,835.69
  6. Step 6: Final answer
    x = 5,746.52

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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.