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Finding the Fourth Proportional to 10,610.71, 14,638.69 and 8,090.21

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Solution

The fourth proportional to 10,610.71, 14,638.69 and 8,090.21 is: 11,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.71 : 14,638.69 = 8,090.21 : x
  2. Step 2: Convert to fraction form
    10,610.71/14,638.69 = 8,090.21/x
  3. Step 3: Cross multiply
    10,610.71x = 14,638.69 × 8,090.21
  4. Step 4: Simplify right side
    10,610.71x = 118,430,122.93
  5. Step 5: Solve for x
    x = 118,430,122.93/10,610.71
  6. Step 6: Final answer
    x = 11,161.38

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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.