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Finding the Fourth Proportional to 11,147.64, 15,383.91 and 6,671.58

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Solution

The fourth proportional to 11,147.64, 15,383.91 and 6,671.58 is: 9,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.64 : 15,383.91 = 6,671.58 : x
  2. Step 2: Convert to fraction form
    11,147.64/15,383.91 = 6,671.58/x
  3. Step 3: Cross multiply
    11,147.64x = 15,383.91 × 6,671.58
  4. Step 4: Simplify right side
    11,147.64x = 102,634,986.28
  5. Step 5: Solve for x
    x = 102,634,986.28/11,147.64
  6. Step 6: Final answer
    x = 9,206.88

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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.