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Finding the Fourth Proportional to 11,401.25, 15,733.73 and 6,433.25

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Solution

The fourth proportional to 11,401.25, 15,733.73 and 6,433.25 is: 8,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.25 : 15,733.73 = 6,433.25 : x
  2. Step 2: Convert to fraction form
    11,401.25/15,733.73 = 6,433.25/x
  3. Step 3: Cross multiply
    11,401.25x = 15,733.73 × 6,433.25
  4. Step 4: Simplify right side
    11,401.25x = 101,218,986.36
  5. Step 5: Solve for x
    x = 101,218,986.36/11,401.25
  6. Step 6: Final answer
    x = 8,877.89

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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.