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Finding the Fourth Proportional to 10,969.20, 16,459.20 and 8,335.80

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Solution

The fourth proportional to 10,969.20, 16,459.20 and 8,335.80 is: 12,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.20 : 16,459.20 = 8,335.80 : x
  2. Step 2: Convert to fraction form
    10,969.20/16,459.20 = 8,335.80/x
  3. Step 3: Cross multiply
    10,969.20x = 16,459.20 × 8,335.80
  4. Step 4: Simplify right side
    10,969.20x = 137,200,599.36
  5. Step 5: Solve for x
    x = 137,200,599.36/10,969.20
  6. Step 6: Final answer
    x = 12,507.80

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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.