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Finding the Fourth Proportional to 8,504.78, 12,754.34 and 3,573.50

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Solution

The fourth proportional to 8,504.78, 12,754.34 and 3,573.50 is: 5,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.78 : 12,754.34 = 3,573.50 : x
  2. Step 2: Convert to fraction form
    8,504.78/12,754.34 = 3,573.50/x
  3. Step 3: Cross multiply
    8,504.78x = 12,754.34 × 3,573.50
  4. Step 4: Simplify right side
    8,504.78x = 45,577,648.01
  5. Step 5: Solve for x
    x = 45,577,648.01/8,504.78
  6. Step 6: Final answer
    x = 5,359.06

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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.