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Finding the Fourth Proportional to 10,650.84, 15,975.92 and 3,255

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Solution

The fourth proportional to 10,650.84, 15,975.92 and 3,255 is: 4,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.84 : 15,975.92 = 3,255 : x
  2. Step 2: Convert to fraction form
    10,650.84/15,975.92 = 3,255/x
  3. Step 3: Cross multiply
    10,650.84x = 15,975.92 × 3,255
  4. Step 4: Simplify right side
    10,650.84x = 52,001,603.33
  5. Step 5: Solve for x
    x = 52,001,603.33/10,650.84
  6. Step 6: Final answer
    x = 4,882.39

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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.