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Finding the Fourth Proportional to 11,686.56, 16,130.46 and 6,653.64

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Solution

The fourth proportional to 11,686.56, 16,130.46 and 6,653.64 is: 9,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.56 : 16,130.46 = 6,653.64 : x
  2. Step 2: Convert to fraction form
    11,686.56/16,130.46 = 6,653.64/x
  3. Step 3: Cross multiply
    11,686.56x = 16,130.46 × 6,653.64
  4. Step 4: Simplify right side
    11,686.56x = 107,326,273.87
  5. Step 5: Solve for x
    x = 107,326,273.87/11,686.56
  6. Step 6: Final answer
    x = 9,183.74

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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.