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Finding the Fourth Proportional to 10,641.50, 15,962.25 and 2,850.14

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Solution

The fourth proportional to 10,641.50, 15,962.25 and 2,850.14 is: 4,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.50 : 15,962.25 = 2,850.14 : x
  2. Step 2: Convert to fraction form
    10,641.50/15,962.25 = 2,850.14/x
  3. Step 3: Cross multiply
    10,641.50x = 15,962.25 × 2,850.14
  4. Step 4: Simplify right side
    10,641.50x = 45,494,647.22
  5. Step 5: Solve for x
    x = 45,494,647.22/10,641.50
  6. Step 6: Final answer
    x = 4,275.21

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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.