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Finding the Fourth Proportional to 11,986.37, 16,543.34 and 7,513.95

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Solution

The fourth proportional to 11,986.37, 16,543.34 and 7,513.95 is: 10,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.37 : 16,543.34 = 7,513.95 : x
  2. Step 2: Convert to fraction form
    11,986.37/16,543.34 = 7,513.95/x
  3. Step 3: Cross multiply
    11,986.37x = 16,543.34 × 7,513.95
  4. Step 4: Simplify right side
    11,986.37x = 124,305,829.59
  5. Step 5: Solve for x
    x = 124,305,829.59/11,986.37
  6. Step 6: Final answer
    x = 10,370.60

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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.