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Finding the Fourth Proportional to 11,748.99, 16,213.50 and 6,443.70

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Solution

The fourth proportional to 11,748.99, 16,213.50 and 6,443.70 is: 8,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.99 : 16,213.50 = 6,443.70 : x
  2. Step 2: Convert to fraction form
    11,748.99/16,213.50 = 6,443.70/x
  3. Step 3: Cross multiply
    11,748.99x = 16,213.50 × 6,443.70
  4. Step 4: Simplify right side
    11,748.99x = 104,474,929.95
  5. Step 5: Solve for x
    x = 104,474,929.95/11,748.99
  6. Step 6: Final answer
    x = 8,892.25

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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.