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Finding the Fourth Proportional to 10,388.70, 14,336.70 and 5,673.28

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Solution

The fourth proportional to 10,388.70, 14,336.70 and 5,673.28 is: 7,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.70 : 14,336.70 = 5,673.28 : x
  2. Step 2: Convert to fraction form
    10,388.70/14,336.70 = 5,673.28/x
  3. Step 3: Cross multiply
    10,388.70x = 14,336.70 × 5,673.28
  4. Step 4: Simplify right side
    10,388.70x = 81,336,113.38
  5. Step 5: Solve for x
    x = 81,336,113.38/10,388.70
  6. Step 6: Final answer
    x = 7,829.29

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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.