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Finding the Fourth Proportional to 7,974.12, 11,009.21 and 5,142.51

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Solution

The fourth proportional to 7,974.12, 11,009.21 and 5,142.51 is: 7,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.12 : 11,009.21 = 5,142.51 : x
  2. Step 2: Convert to fraction form
    7,974.12/11,009.21 = 5,142.51/x
  3. Step 3: Cross multiply
    7,974.12x = 11,009.21 × 5,142.51
  4. Step 4: Simplify right side
    7,974.12x = 56,614,946.80
  5. Step 5: Solve for x
    x = 56,614,946.80/7,974.12
  6. Step 6: Final answer
    x = 7,099.84

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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.