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Finding the Fourth Proportional to 11,821, 16,312.80 and 6,515.68

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Solution

The fourth proportional to 11,821, 16,312.80 and 6,515.68 is: 8,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821 : 16,312.80 = 6,515.68 : x
  2. Step 2: Convert to fraction form
    11,821/16,312.80 = 6,515.68/x
  3. Step 3: Cross multiply
    11,821x = 16,312.80 × 6,515.68
  4. Step 4: Simplify right side
    11,821x = 106,288,984.70
  5. Step 5: Solve for x
    x = 106,288,984.70/11,821
  6. Step 6: Final answer
    x = 8,991.54

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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.