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Finding the Fourth Proportional to 12,090.42, 16,684.92 and 6,785.10

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Solution

The fourth proportional to 12,090.42, 16,684.92 and 6,785.10 is: 9,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.42 : 16,684.92 = 6,785.10 : x
  2. Step 2: Convert to fraction form
    12,090.42/16,684.92 = 6,785.10/x
  3. Step 3: Cross multiply
    12,090.42x = 16,684.92 × 6,785.10
  4. Step 4: Simplify right side
    12,090.42x = 113,208,850.69
  5. Step 5: Solve for x
    x = 113,208,850.69/12,090.42
  6. Step 6: Final answer
    x = 9,363.52

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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.