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Finding the Fourth Proportional to 8,427.16, 12,641.03 and 3,161.63

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Solution

The fourth proportional to 8,427.16, 12,641.03 and 3,161.63 is: 4,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.16 : 12,641.03 = 3,161.63 : x
  2. Step 2: Convert to fraction form
    8,427.16/12,641.03 = 3,161.63/x
  3. Step 3: Cross multiply
    8,427.16x = 12,641.03 × 3,161.63
  4. Step 4: Simplify right side
    8,427.16x = 39,966,259.68
  5. Step 5: Solve for x
    x = 39,966,259.68/8,427.16
  6. Step 6: Final answer
    x = 4,742.55

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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.