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Finding the Fourth Proportional to 7,141.68, 10,709.01 and 2,980.44

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Solution

The fourth proportional to 7,141.68, 10,709.01 and 2,980.44 is: 4,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.68 : 10,709.01 = 2,980.44 : x
  2. Step 2: Convert to fraction form
    7,141.68/10,709.01 = 2,980.44/x
  3. Step 3: Cross multiply
    7,141.68x = 10,709.01 × 2,980.44
  4. Step 4: Simplify right side
    7,141.68x = 31,917,561.76
  5. Step 5: Solve for x
    x = 31,917,561.76/7,141.68
  6. Step 6: Final answer
    x = 4,469.20

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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.