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Finding the Fourth Proportional to 12,975.80, 17,902.90 and 7,308.57

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Solution

The fourth proportional to 12,975.80, 17,902.90 and 7,308.57 is: 10,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.80 : 17,902.90 = 7,308.57 : x
  2. Step 2: Convert to fraction form
    12,975.80/17,902.90 = 7,308.57/x
  3. Step 3: Cross multiply
    12,975.80x = 17,902.90 × 7,308.57
  4. Step 4: Simplify right side
    12,975.80x = 130,844,508.34
  5. Step 5: Solve for x
    x = 130,844,508.34/12,975.80
  6. Step 6: Final answer
    x = 10,083.73

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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.