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Finding the Fourth Proportional to 11,401.69, 15,734.17 and 6,365.99

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Solution

The fourth proportional to 11,401.69, 15,734.17 and 6,365.99 is: 8,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.69 : 15,734.17 = 6,365.99 : x
  2. Step 2: Convert to fraction form
    11,401.69/15,734.17 = 6,365.99/x
  3. Step 3: Cross multiply
    11,401.69x = 15,734.17 × 6,365.99
  4. Step 4: Simplify right side
    11,401.69x = 100,163,634.08
  5. Step 5: Solve for x
    x = 100,163,634.08/11,401.69
  6. Step 6: Final answer
    x = 8,784.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.