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Finding the Fourth Proportional to 10,829.66, 16,244.46 and 8,861.36

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Solution

The fourth proportional to 10,829.66, 16,244.46 and 8,861.36 is: 13,292.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.66 : 16,244.46 = 8,861.36 : x
  2. Step 2: Convert to fraction form
    10,829.66/16,244.46 = 8,861.36/x
  3. Step 3: Cross multiply
    10,829.66x = 16,244.46 × 8,861.36
  4. Step 4: Simplify right side
    10,829.66x = 143,948,008.07
  5. Step 5: Solve for x
    x = 143,948,008.07/10,829.66
  6. Step 6: Final answer
    x = 13,292.02

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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.