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Finding the Fourth Proportional to 10,842.50, 16,263.76 and 2,634.50

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Solution

The fourth proportional to 10,842.50, 16,263.76 and 2,634.50 is: 3,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.50 : 16,263.76 = 2,634.50 : x
  2. Step 2: Convert to fraction form
    10,842.50/16,263.76 = 2,634.50/x
  3. Step 3: Cross multiply
    10,842.50x = 16,263.76 × 2,634.50
  4. Step 4: Simplify right side
    10,842.50x = 42,846,875.72
  5. Step 5: Solve for x
    x = 42,846,875.72/10,842.50
  6. Step 6: Final answer
    x = 3,951.75

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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.