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Finding the Fourth Proportional to 10,696.36, 16,042.92 and 4,125.64

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Solution

The fourth proportional to 10,696.36, 16,042.92 and 4,125.64 is: 6,187.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.36 : 16,042.92 = 4,125.64 : x
  2. Step 2: Convert to fraction form
    10,696.36/16,042.92 = 4,125.64/x
  3. Step 3: Cross multiply
    10,696.36x = 16,042.92 × 4,125.64
  4. Step 4: Simplify right side
    10,696.36x = 66,187,312.47
  5. Step 5: Solve for x
    x = 66,187,312.47/10,696.36
  6. Step 6: Final answer
    x = 6,187.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.