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Finding the Fourth Proportional to 8,427.56, 12,649.14 and 4,270.52

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Solution

The fourth proportional to 8,427.56, 12,649.14 and 4,270.52 is: 6,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.56 : 12,649.14 = 4,270.52 : x
  2. Step 2: Convert to fraction form
    8,427.56/12,649.14 = 4,270.52/x
  3. Step 3: Cross multiply
    8,427.56x = 12,649.14 × 4,270.52
  4. Step 4: Simplify right side
    8,427.56x = 54,018,405.35
  5. Step 5: Solve for x
    x = 54,018,405.35/8,427.56
  6. Step 6: Final answer
    x = 6,409.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.