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Finding the Fourth Proportional to 10,161.54, 14,023.11 and 6,128.34

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Solution

The fourth proportional to 10,161.54, 14,023.11 and 6,128.34 is: 8,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.54 : 14,023.11 = 6,128.34 : x
  2. Step 2: Convert to fraction form
    10,161.54/14,023.11 = 6,128.34/x
  3. Step 3: Cross multiply
    10,161.54x = 14,023.11 × 6,128.34
  4. Step 4: Simplify right side
    10,161.54x = 85,938,355.30
  5. Step 5: Solve for x
    x = 85,938,355.30/10,161.54
  6. Step 6: Final answer
    x = 8,457.22

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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.