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Finding the Fourth Proportional to 8,051.34, 12,072.15 and 3,116.82

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Solution

The fourth proportional to 8,051.34, 12,072.15 and 3,116.82 is: 4,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.34 : 12,072.15 = 3,116.82 : x
  2. Step 2: Convert to fraction form
    8,051.34/12,072.15 = 3,116.82/x
  3. Step 3: Cross multiply
    8,051.34x = 12,072.15 × 3,116.82
  4. Step 4: Simplify right side
    8,051.34x = 37,626,718.56
  5. Step 5: Solve for x
    x = 37,626,718.56/8,051.34
  6. Step 6: Final answer
    x = 4,673.35

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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.