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Finding the Fourth Proportional to 7,966.14, 11,940.19 and 4,011.11

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Solution

The fourth proportional to 7,966.14, 11,940.19 and 4,011.11 is: 6,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.14 : 11,940.19 = 4,011.11 : x
  2. Step 2: Convert to fraction form
    7,966.14/11,940.19 = 4,011.11/x
  3. Step 3: Cross multiply
    7,966.14x = 11,940.19 × 4,011.11
  4. Step 4: Simplify right side
    7,966.14x = 47,893,415.51
  5. Step 5: Solve for x
    x = 47,893,415.51/7,966.14
  6. Step 6: Final answer
    x = 6,012.12

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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.