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Finding the Fourth Proportional to 8,577.34, 12,865.98 and 5,634.36

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Solution

The fourth proportional to 8,577.34, 12,865.98 and 5,634.36 is: 8,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.34 : 12,865.98 = 5,634.36 : x
  2. Step 2: Convert to fraction form
    8,577.34/12,865.98 = 5,634.36/x
  3. Step 3: Cross multiply
    8,577.34x = 12,865.98 × 5,634.36
  4. Step 4: Simplify right side
    8,577.34x = 72,491,563.07
  5. Step 5: Solve for x
    x = 72,491,563.07/8,577.34
  6. Step 6: Final answer
    x = 8,451.52

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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.