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Finding the Fourth Proportional to 11,736.80, 16,188.36 and 7,541

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Solution

The fourth proportional to 11,736.80, 16,188.36 and 7,541 is: 10,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.80 : 16,188.36 = 7,541 : x
  2. Step 2: Convert to fraction form
    11,736.80/16,188.36 = 7,541/x
  3. Step 3: Cross multiply
    11,736.80x = 16,188.36 × 7,541
  4. Step 4: Simplify right side
    11,736.80x = 122,076,422.76
  5. Step 5: Solve for x
    x = 122,076,422.76/11,736.80
  6. Step 6: Final answer
    x = 10,401.17

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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.