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Finding the Fourth Proportional to 11,748.84, 16,213.12 and 7,557.09

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Solution

The fourth proportional to 11,748.84, 16,213.12 and 7,557.09 is: 10,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.84 : 16,213.12 = 7,557.09 : x
  2. Step 2: Convert to fraction form
    11,748.84/16,213.12 = 7,557.09/x
  3. Step 3: Cross multiply
    11,748.84x = 16,213.12 × 7,557.09
  4. Step 4: Simplify right side
    11,748.84x = 122,524,007.02
  5. Step 5: Solve for x
    x = 122,524,007.02/11,748.84
  6. Step 6: Final answer
    x = 10,428.60

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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.