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Finding the Fourth Proportional to 7,982.90, 11,966.16 and 3,051.22

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Solution

The fourth proportional to 7,982.90, 11,966.16 and 3,051.22 is: 4,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.90 : 11,966.16 = 3,051.22 : x
  2. Step 2: Convert to fraction form
    7,982.90/11,966.16 = 3,051.22/x
  3. Step 3: Cross multiply
    7,982.90x = 11,966.16 × 3,051.22
  4. Step 4: Simplify right side
    7,982.90x = 36,511,386.72
  5. Step 5: Solve for x
    x = 36,511,386.72/7,982.90
  6. Step 6: Final answer
    x = 4,573.70

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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.