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Finding the Fourth Proportional to 12,090.16, 16,684.14 and 6,784.84

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Solution

The fourth proportional to 12,090.16, 16,684.14 and 6,784.84 is: 9,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.16 : 16,684.14 = 6,784.84 : x
  2. Step 2: Convert to fraction form
    12,090.16/16,684.14 = 6,784.84/x
  3. Step 3: Cross multiply
    12,090.16x = 16,684.14 × 6,784.84
  4. Step 4: Simplify right side
    12,090.16x = 113,199,220.44
  5. Step 5: Solve for x
    x = 113,199,220.44/12,090.16
  6. Step 6: Final answer
    x = 9,362.92

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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.