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Finding the Fourth Proportional to 12,090.50, 16,684.96 and 7,058.22

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Solution

The fourth proportional to 12,090.50, 16,684.96 and 7,058.22 is: 9,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.50 : 16,684.96 = 7,058.22 : x
  2. Step 2: Convert to fraction form
    12,090.50/16,684.96 = 7,058.22/x
  3. Step 3: Cross multiply
    12,090.50x = 16,684.96 × 7,058.22
  4. Step 4: Simplify right side
    12,090.50x = 117,766,118.37
  5. Step 5: Solve for x
    x = 117,766,118.37/12,090.50
  6. Step 6: Final answer
    x = 9,740.38

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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.