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Finding the Fourth Proportional to 10,134.64, 13,986 and 5,886.05

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Solution

The fourth proportional to 10,134.64, 13,986 and 5,886.05 is: 8,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.64 : 13,986 = 5,886.05 : x
  2. Step 2: Convert to fraction form
    10,134.64/13,986 = 5,886.05/x
  3. Step 3: Cross multiply
    10,134.64x = 13,986 × 5,886.05
  4. Step 4: Simplify right side
    10,134.64x = 82,322,295.30
  5. Step 5: Solve for x
    x = 82,322,295.30/10,134.64
  6. Step 6: Final answer
    x = 8,122.86

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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.