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Finding the Fourth Proportional to 11,614.67, 16,012.37 and 7,980.60

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Solution

The fourth proportional to 11,614.67, 16,012.37 and 7,980.60 is: 11,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.67 : 16,012.37 = 7,980.60 : x
  2. Step 2: Convert to fraction form
    11,614.67/16,012.37 = 7,980.60/x
  3. Step 3: Cross multiply
    11,614.67x = 16,012.37 × 7,980.60
  4. Step 4: Simplify right side
    11,614.67x = 127,788,280.12
  5. Step 5: Solve for x
    x = 127,788,280.12/11,614.67
  6. Step 6: Final answer
    x = 11,002.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.