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Finding the Fourth Proportional to 10,945.84, 16,433.96 and 7,606.22

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Solution

The fourth proportional to 10,945.84, 16,433.96 and 7,606.22 is: 11,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.84 : 16,433.96 = 7,606.22 : x
  2. Step 2: Convert to fraction form
    10,945.84/16,433.96 = 7,606.22/x
  3. Step 3: Cross multiply
    10,945.84x = 16,433.96 × 7,606.22
  4. Step 4: Simplify right side
    10,945.84x = 125,000,313.70
  5. Step 5: Solve for x
    x = 125,000,313.70/10,945.84
  6. Step 6: Final answer
    x = 11,419.89

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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.