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Finding the Fourth Proportional to 10,989.30, 16,464.63 and 9,245.79

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Solution

The fourth proportional to 10,989.30, 16,464.63 and 9,245.79 is: 13,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.30 : 16,464.63 = 9,245.79 : x
  2. Step 2: Convert to fraction form
    10,989.30/16,464.63 = 9,245.79/x
  3. Step 3: Cross multiply
    10,989.30x = 16,464.63 × 9,245.79
  4. Step 4: Simplify right side
    10,989.30x = 152,228,511.41
  5. Step 5: Solve for x
    x = 152,228,511.41/10,989.30
  6. Step 6: Final answer
    x = 13,852.43

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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.