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Finding the Fourth Proportional to 10,655.33, 15,982.41 and 3,259.79

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Solution

The fourth proportional to 10,655.33, 15,982.41 and 3,259.79 is: 4,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.33 : 15,982.41 = 3,259.79 : x
  2. Step 2: Convert to fraction form
    10,655.33/15,982.41 = 3,259.79/x
  3. Step 3: Cross multiply
    10,655.33x = 15,982.41 × 3,259.79
  4. Step 4: Simplify right side
    10,655.33x = 52,099,232.61
  5. Step 5: Solve for x
    x = 52,099,232.61/10,655.33
  6. Step 6: Final answer
    x = 4,889.50

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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.