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Finding the Fourth Proportional to 11,763.84, 16,241.04 and 7,517.28

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Solution

The fourth proportional to 11,763.84, 16,241.04 and 7,517.28 is: 10,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.84 : 16,241.04 = 7,517.28 : x
  2. Step 2: Convert to fraction form
    11,763.84/16,241.04 = 7,517.28/x
  3. Step 3: Cross multiply
    11,763.84x = 16,241.04 × 7,517.28
  4. Step 4: Simplify right side
    11,763.84x = 122,088,445.17
  5. Step 5: Solve for x
    x = 122,088,445.17/11,763.84
  6. Step 6: Final answer
    x = 10,378.28

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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.