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Finding the Fourth Proportional to 11,684.66, 16,125.48 and 6,969.24

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Solution

The fourth proportional to 11,684.66, 16,125.48 and 6,969.24 is: 9,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.66 : 16,125.48 = 6,969.24 : x
  2. Step 2: Convert to fraction form
    11,684.66/16,125.48 = 6,969.24/x
  3. Step 3: Cross multiply
    11,684.66x = 16,125.48 × 6,969.24
  4. Step 4: Simplify right side
    11,684.66x = 112,382,340.24
  5. Step 5: Solve for x
    x = 112,382,340.24/11,684.66
  6. Step 6: Final answer
    x = 9,617.94

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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.