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Finding the Fourth Proportional to 12,975.25, 17,906.93 and 7,311.11

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Solution

The fourth proportional to 12,975.25, 17,906.93 and 7,311.11 is: 10,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.25 : 17,906.93 = 7,311.11 : x
  2. Step 2: Convert to fraction form
    12,975.25/17,906.93 = 7,311.11/x
  3. Step 3: Cross multiply
    12,975.25x = 17,906.93 × 7,311.11
  4. Step 4: Simplify right side
    12,975.25x = 130,919,534.99
  5. Step 5: Solve for x
    x = 130,919,534.99/12,975.25
  6. Step 6: Final answer
    x = 10,089.94

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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.