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Finding the Fourth Proportional to 11,762.48, 17,635.32 and 5,519

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Solution

The fourth proportional to 11,762.48, 17,635.32 and 5,519 is: 8,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.48 : 17,635.32 = 5,519 : x
  2. Step 2: Convert to fraction form
    11,762.48/17,635.32 = 5,519/x
  3. Step 3: Cross multiply
    11,762.48x = 17,635.32 × 5,519
  4. Step 4: Simplify right side
    11,762.48x = 97,329,331.08
  5. Step 5: Solve for x
    x = 97,329,331.08/11,762.48
  6. Step 6: Final answer
    x = 8,274.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.