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Finding the Fourth Proportional to 10,696.15, 14,760.80 and 5,980.38

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Solution

The fourth proportional to 10,696.15, 14,760.80 and 5,980.38 is: 8,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.15 : 14,760.80 = 5,980.38 : x
  2. Step 2: Convert to fraction form
    10,696.15/14,760.80 = 5,980.38/x
  3. Step 3: Cross multiply
    10,696.15x = 14,760.80 × 5,980.38
  4. Step 4: Simplify right side
    10,696.15x = 88,275,193.10
  5. Step 5: Solve for x
    x = 88,275,193.10/10,696.15
  6. Step 6: Final answer
    x = 8,252.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.