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Finding the Fourth Proportional to 11,931.59, 16,470.18 and 7,951.25

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Solution

The fourth proportional to 11,931.59, 16,470.18 and 7,951.25 is: 10,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.59 : 16,470.18 = 7,951.25 : x
  2. Step 2: Convert to fraction form
    11,931.59/16,470.18 = 7,951.25/x
  3. Step 3: Cross multiply
    11,931.59x = 16,470.18 × 7,951.25
  4. Step 4: Simplify right side
    11,931.59x = 130,958,436.37
  5. Step 5: Solve for x
    x = 130,958,436.37/11,931.59
  6. Step 6: Final answer
    x = 10,975.78

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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.