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Finding the Fourth Proportional to 11,369.12, 15,689.20 and 6,401.12

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Solution

The fourth proportional to 11,369.12, 15,689.20 and 6,401.12 is: 8,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.12 : 15,689.20 = 6,401.12 : x
  2. Step 2: Convert to fraction form
    11,369.12/15,689.20 = 6,401.12/x
  3. Step 3: Cross multiply
    11,369.12x = 15,689.20 × 6,401.12
  4. Step 4: Simplify right side
    11,369.12x = 100,428,451.90
  5. Step 5: Solve for x
    x = 100,428,451.90/11,369.12
  6. Step 6: Final answer
    x = 8,833.44

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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.