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Finding the Fourth Proportional to 12,975.10, 17,909.67 and 7,940.86

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Solution

The fourth proportional to 12,975.10, 17,909.67 and 7,940.86 is: 10,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.10 : 17,909.67 = 7,940.86 : x
  2. Step 2: Convert to fraction form
    12,975.10/17,909.67 = 7,940.86/x
  3. Step 3: Cross multiply
    12,975.10x = 17,909.67 × 7,940.86
  4. Step 4: Simplify right side
    12,975.10x = 142,218,182.12
  5. Step 5: Solve for x
    x = 142,218,182.12/12,975.10
  6. Step 6: Final answer
    x = 10,960.85

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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.