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Finding the Fourth Proportional to 10,218.36, 14,098.74 and 6,238.02

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Solution

The fourth proportional to 10,218.36, 14,098.74 and 6,238.02 is: 8,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.36 : 14,098.74 = 6,238.02 : x
  2. Step 2: Convert to fraction form
    10,218.36/14,098.74 = 6,238.02/x
  3. Step 3: Cross multiply
    10,218.36x = 14,098.74 × 6,238.02
  4. Step 4: Simplify right side
    10,218.36x = 87,948,222.09
  5. Step 5: Solve for x
    x = 87,948,222.09/10,218.36
  6. Step 6: Final answer
    x = 8,606.88

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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.