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Finding the Fourth Proportional to 10,986.86, 16,480.32 and 5,147.60

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Solution

The fourth proportional to 10,986.86, 16,480.32 and 5,147.60 is: 7,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.86 : 16,480.32 = 5,147.60 : x
  2. Step 2: Convert to fraction form
    10,986.86/16,480.32 = 5,147.60/x
  3. Step 3: Cross multiply
    10,986.86x = 16,480.32 × 5,147.60
  4. Step 4: Simplify right side
    10,986.86x = 84,834,095.23
  5. Step 5: Solve for x
    x = 84,834,095.23/10,986.86
  6. Step 6: Final answer
    x = 7,721.41

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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.