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Finding the Fourth Proportional to 7,967.14, 11,941.69 and 4,012.11

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Solution

The fourth proportional to 7,967.14, 11,941.69 and 4,012.11 is: 6,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.14 : 11,941.69 = 4,012.11 : x
  2. Step 2: Convert to fraction form
    7,967.14/11,941.69 = 4,012.11/x
  3. Step 3: Cross multiply
    7,967.14x = 11,941.69 × 4,012.11
  4. Step 4: Simplify right side
    7,967.14x = 47,911,373.87
  5. Step 5: Solve for x
    x = 47,911,373.87/7,967.14
  6. Step 6: Final answer
    x = 6,013.62

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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.