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Finding the Fourth Proportional to 11,171.00, 15,416.78 and 6,458.01

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Solution

The fourth proportional to 11,171.00, 15,416.78 and 6,458.01 is: 8,912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.00 : 15,416.78 = 6,458.01 : x
  2. Step 2: Convert to fraction form
    11,171.00/15,416.78 = 6,458.01/x
  3. Step 3: Cross multiply
    11,171.00x = 15,416.78 × 6,458.01
  4. Step 4: Simplify right side
    11,171.00x = 99,561,687.12
  5. Step 5: Solve for x
    x = 99,561,687.12/11,171.00
  6. Step 6: Final answer
    x = 8,912.52

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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.