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Finding the Fourth Proportional to 11,986.74, 16,543.26 and 8,640.63

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Solution

The fourth proportional to 11,986.74, 16,543.26 and 8,640.63 is: 11,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,986.74 : 16,543.26 = 8,640.63 : x
  2. Step 2: Convert to fraction form
    11,986.74/16,543.26 = 8,640.63/x
  3. Step 3: Cross multiply
    11,986.74x = 16,543.26 × 8,640.63
  4. Step 4: Simplify right side
    11,986.74x = 142,944,188.65
  5. Step 5: Solve for x
    x = 142,944,188.65/11,986.74
  6. Step 6: Final answer
    x = 11,925.19

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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.