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Finding the Fourth Proportional to 11,669.63, 16,117.53 and 8,497.11

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Solution

The fourth proportional to 11,669.63, 16,117.53 and 8,497.11 is: 11,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.63 : 16,117.53 = 8,497.11 : x
  2. Step 2: Convert to fraction form
    11,669.63/16,117.53 = 8,497.11/x
  3. Step 3: Cross multiply
    11,669.63x = 16,117.53 × 8,497.11
  4. Step 4: Simplify right side
    11,669.63x = 136,952,382.85
  5. Step 5: Solve for x
    x = 136,952,382.85/11,669.63
  6. Step 6: Final answer
    x = 11,735.80

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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.