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Finding the Fourth Proportional to 10,158.90, 14,027.93 and 6,388.37

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Solution

The fourth proportional to 10,158.90, 14,027.93 and 6,388.37 is: 8,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.90 : 14,027.93 = 6,388.37 : x
  2. Step 2: Convert to fraction form
    10,158.90/14,027.93 = 6,388.37/x
  3. Step 3: Cross multiply
    10,158.90x = 14,027.93 × 6,388.37
  4. Step 4: Simplify right side
    10,158.90x = 89,615,505.09
  5. Step 5: Solve for x
    x = 89,615,505.09/10,158.90
  6. Step 6: Final answer
    x = 8,821.38

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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.