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Finding the Fourth Proportional to 7,961.56, 10,982.42 and 4,973.74

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Solution

The fourth proportional to 7,961.56, 10,982.42 and 4,973.74 is: 6,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.56 : 10,982.42 = 4,973.74 : x
  2. Step 2: Convert to fraction form
    7,961.56/10,982.42 = 4,973.74/x
  3. Step 3: Cross multiply
    7,961.56x = 10,982.42 × 4,973.74
  4. Step 4: Simplify right side
    7,961.56x = 54,623,701.65
  5. Step 5: Solve for x
    x = 54,623,701.65/7,961.56
  6. Step 6: Final answer
    x = 6,860.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.