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Finding the Fourth Proportional to 12,090.76, 16,686.05 and 6,785.93

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Solution

The fourth proportional to 12,090.76, 16,686.05 and 6,785.93 is: 9,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.76 : 16,686.05 = 6,785.93 : x
  2. Step 2: Convert to fraction form
    12,090.76/16,686.05 = 6,785.93/x
  3. Step 3: Cross multiply
    12,090.76x = 16,686.05 × 6,785.93
  4. Step 4: Simplify right side
    12,090.76x = 113,230,375.06
  5. Step 5: Solve for x
    x = 113,230,375.06/12,090.76
  6. Step 6: Final answer
    x = 9,365.04

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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.