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Finding the Fourth Proportional to 11,653.16, 16,086.72 and 6,871.52

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Solution

The fourth proportional to 11,653.16, 16,086.72 and 6,871.52 is: 9,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.16 : 16,086.72 = 6,871.52 : x
  2. Step 2: Convert to fraction form
    11,653.16/16,086.72 = 6,871.52/x
  3. Step 3: Cross multiply
    11,653.16x = 16,086.72 × 6,871.52
  4. Step 4: Simplify right side
    11,653.16x = 110,540,284.20
  5. Step 5: Solve for x
    x = 110,540,284.20/11,653.16
  6. Step 6: Final answer
    x = 9,485.87

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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.