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Finding the Fourth Proportional to 11,785.44, 16,268.10 and 7,807.84

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Solution

The fourth proportional to 11,785.44, 16,268.10 and 7,807.84 is: 10,777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.44 : 16,268.10 = 7,807.84 : x
  2. Step 2: Convert to fraction form
    11,785.44/16,268.10 = 7,807.84/x
  3. Step 3: Cross multiply
    11,785.44x = 16,268.10 × 7,807.84
  4. Step 4: Simplify right side
    11,785.44x = 127,018,721.90
  5. Step 5: Solve for x
    x = 127,018,721.90/11,785.44
  6. Step 6: Final answer
    x = 10,777.60

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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.