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Finding the Fourth Proportional to 10,849.50, 16,274.25 and 2,641.50

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Solution

The fourth proportional to 10,849.50, 16,274.25 and 2,641.50 is: 3,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.50 : 16,274.25 = 2,641.50 : x
  2. Step 2: Convert to fraction form
    10,849.50/16,274.25 = 2,641.50/x
  3. Step 3: Cross multiply
    10,849.50x = 16,274.25 × 2,641.50
  4. Step 4: Simplify right side
    10,849.50x = 42,988,431.38
  5. Step 5: Solve for x
    x = 42,988,431.38/10,849.50
  6. Step 6: Final answer
    x = 3,962.25

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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.