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Finding the Fourth Proportional to 10,852.50, 16,278.75 and 2,644.50

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Solution

The fourth proportional to 10,852.50, 16,278.75 and 2,644.50 is: 3,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.50 : 16,278.75 = 2,644.50 : x
  2. Step 2: Convert to fraction form
    10,852.50/16,278.75 = 2,644.50/x
  3. Step 3: Cross multiply
    10,852.50x = 16,278.75 × 2,644.50
  4. Step 4: Simplify right side
    10,852.50x = 43,049,154.38
  5. Step 5: Solve for x
    x = 43,049,154.38/10,852.50
  6. Step 6: Final answer
    x = 3,966.75

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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.