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Finding the Fourth Proportional to 12,090.42, 16,686 and 6,784.92

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Solution

The fourth proportional to 12,090.42, 16,686 and 6,784.92 is: 9,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.42 : 16,686 = 6,784.92 : x
  2. Step 2: Convert to fraction form
    12,090.42/16,686 = 6,784.92/x
  3. Step 3: Cross multiply
    12,090.42x = 16,686 × 6,784.92
  4. Step 4: Simplify right side
    12,090.42x = 113,213,175.12
  5. Step 5: Solve for x
    x = 113,213,175.12/12,090.42
  6. Step 6: Final answer
    x = 9,363.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.