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Finding the Fourth Proportional to 11,696.88, 16,141.40 and 6,391.52

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Solution

The fourth proportional to 11,696.88, 16,141.40 and 6,391.52 is: 8,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.88 : 16,141.40 = 6,391.52 : x
  2. Step 2: Convert to fraction form
    11,696.88/16,141.40 = 6,391.52/x
  3. Step 3: Cross multiply
    11,696.88x = 16,141.40 × 6,391.52
  4. Step 4: Simplify right side
    11,696.88x = 103,168,080.93
  5. Step 5: Solve for x
    x = 103,168,080.93/11,696.88
  6. Step 6: Final answer
    x = 8,820.14

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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.