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Finding the Fourth Proportional to 8,504.10, 12,759.12 and 3,827.34

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Solution

The fourth proportional to 8,504.10, 12,759.12 and 3,827.34 is: 5,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.10 : 12,759.12 = 3,827.34 : x
  2. Step 2: Convert to fraction form
    8,504.10/12,759.12 = 3,827.34/x
  3. Step 3: Cross multiply
    8,504.10x = 12,759.12 × 3,827.34
  4. Step 4: Simplify right side
    8,504.10x = 48,833,490.34
  5. Step 5: Solve for x
    x = 48,833,490.34/8,504.10
  6. Step 6: Final answer
    x = 5,742.35

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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.