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Finding the Fourth Proportional to 11,537.00, 15,921.08 and 6,231.83

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Solution

The fourth proportional to 11,537.00, 15,921.08 and 6,231.83 is: 8,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,537.00 : 15,921.08 = 6,231.83 : x
  2. Step 2: Convert to fraction form
    11,537.00/15,921.08 = 6,231.83/x
  3. Step 3: Cross multiply
    11,537.00x = 15,921.08 × 6,231.83
  4. Step 4: Simplify right side
    11,537.00x = 99,217,353.21
  5. Step 5: Solve for x
    x = 99,217,353.21/11,537.00
  6. Step 6: Final answer
    x = 8,599.92

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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.