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Finding the Fourth Proportional to 11,880.48, 17,814.72 and 6,951.60

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Solution

The fourth proportional to 11,880.48, 17,814.72 and 6,951.60 is: 10,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.48 : 17,814.72 = 6,951.60 : x
  2. Step 2: Convert to fraction form
    11,880.48/17,814.72 = 6,951.60/x
  3. Step 3: Cross multiply
    11,880.48x = 17,814.72 × 6,951.60
  4. Step 4: Simplify right side
    11,880.48x = 123,840,807.55
  5. Step 5: Solve for x
    x = 123,840,807.55/11,880.48
  6. Step 6: Final answer
    x = 10,423.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.