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Finding the Fourth Proportional to 11,762.78, 17,645.61 and 3,969.50

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Solution

The fourth proportional to 11,762.78, 17,645.61 and 3,969.50 is: 5,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.78 : 17,645.61 = 3,969.50 : x
  2. Step 2: Convert to fraction form
    11,762.78/17,645.61 = 3,969.50/x
  3. Step 3: Cross multiply
    11,762.78x = 17,645.61 × 3,969.50
  4. Step 4: Simplify right side
    11,762.78x = 70,044,248.90
  5. Step 5: Solve for x
    x = 70,044,248.90/11,762.78
  6. Step 6: Final answer
    x = 5,954.74

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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.