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Finding the Fourth Proportional to 10,412.36, 14,369.04 and 5,696.66

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Solution

The fourth proportional to 10,412.36, 14,369.04 and 5,696.66 is: 7,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.36 : 14,369.04 = 5,696.66 : x
  2. Step 2: Convert to fraction form
    10,412.36/14,369.04 = 5,696.66/x
  3. Step 3: Cross multiply
    10,412.36x = 14,369.04 × 5,696.66
  4. Step 4: Simplify right side
    10,412.36x = 81,855,535.41
  5. Step 5: Solve for x
    x = 81,855,535.41/10,412.36
  6. Step 6: Final answer
    x = 7,861.38

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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.