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Finding the Fourth Proportional to 12,090.68, 16,685.42 and 6,785.90

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Solution

The fourth proportional to 12,090.68, 16,685.42 and 6,785.90 is: 9,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.68 : 16,685.42 = 6,785.90 : x
  2. Step 2: Convert to fraction form
    12,090.68/16,685.42 = 6,785.90/x
  3. Step 3: Cross multiply
    12,090.68x = 16,685.42 × 6,785.90
  4. Step 4: Simplify right side
    12,090.68x = 113,225,591.58
  5. Step 5: Solve for x
    x = 113,225,591.58/12,090.68
  6. Step 6: Final answer
    x = 9,364.70

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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.