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Finding the Fourth Proportional to 11,281.68, 16,903.26 and 7,989.30

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Solution

The fourth proportional to 11,281.68, 16,903.26 and 7,989.30 is: 11,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.68 : 16,903.26 = 7,989.30 : x
  2. Step 2: Convert to fraction form
    11,281.68/16,903.26 = 7,989.30/x
  3. Step 3: Cross multiply
    11,281.68x = 16,903.26 × 7,989.30
  4. Step 4: Simplify right side
    11,281.68x = 135,045,215.12
  5. Step 5: Solve for x
    x = 135,045,215.12/11,281.68
  6. Step 6: Final answer
    x = 11,970.31

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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.