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Finding the Fourth Proportional to 8,446.29, 12,672.14 and 4,061.36

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Solution

The fourth proportional to 8,446.29, 12,672.14 and 4,061.36 is: 6,093.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.29 : 12,672.14 = 4,061.36 : x
  2. Step 2: Convert to fraction form
    8,446.29/12,672.14 = 4,061.36/x
  3. Step 3: Cross multiply
    8,446.29x = 12,672.14 × 4,061.36
  4. Step 4: Simplify right side
    8,446.29x = 51,466,038.84
  5. Step 5: Solve for x
    x = 51,466,038.84/8,446.29
  6. Step 6: Final answer
    x = 6,093.33

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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.