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Finding the Fourth Proportional to 7,982.93, 11,973.85 and 3,053.07

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Solution

The fourth proportional to 7,982.93, 11,973.85 and 3,053.07 is: 4,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.93 : 11,973.85 = 3,053.07 : x
  2. Step 2: Convert to fraction form
    7,982.93/11,973.85 = 3,053.07/x
  3. Step 3: Cross multiply
    7,982.93x = 11,973.85 × 3,053.07
  4. Step 4: Simplify right side
    7,982.93x = 36,557,002.22
  5. Step 5: Solve for x
    x = 36,557,002.22/7,982.93
  6. Step 6: Final answer
    x = 4,579.40

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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.