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Finding the Fourth Proportional to 10,644.39, 15,918.09 and 7,977.69

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Solution

The fourth proportional to 10,644.39, 15,918.09 and 7,977.69 is: 11,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.39 : 15,918.09 = 7,977.69 : x
  2. Step 2: Convert to fraction form
    10,644.39/15,918.09 = 7,977.69/x
  3. Step 3: Cross multiply
    10,644.39x = 15,918.09 × 7,977.69
  4. Step 4: Simplify right side
    10,644.39x = 126,989,624.81
  5. Step 5: Solve for x
    x = 126,989,624.81/10,644.39
  6. Step 6: Final answer
    x = 11,930.20

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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.