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Finding the Fourth Proportional to 10,654.40, 15,986.40 and 5,105.60

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Solution

The fourth proportional to 10,654.40, 15,986.40 and 5,105.60 is: 7,660.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.40 : 15,986.40 = 5,105.60 : x
  2. Step 2: Convert to fraction form
    10,654.40/15,986.40 = 5,105.60/x
  3. Step 3: Cross multiply
    10,654.40x = 15,986.40 × 5,105.60
  4. Step 4: Simplify right side
    10,654.40x = 81,620,163.84
  5. Step 5: Solve for x
    x = 81,620,163.84/10,654.40
  6. Step 6: Final answer
    x = 7,660.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.