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Finding the Fourth Proportional to 10,026.84, 13,837.26 and 6,496.20

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Solution

The fourth proportional to 10,026.84, 13,837.26 and 6,496.20 is: 8,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.84 : 13,837.26 = 6,496.20 : x
  2. Step 2: Convert to fraction form
    10,026.84/13,837.26 = 6,496.20/x
  3. Step 3: Cross multiply
    10,026.84x = 13,837.26 × 6,496.20
  4. Step 4: Simplify right side
    10,026.84x = 89,889,608.41
  5. Step 5: Solve for x
    x = 89,889,608.41/10,026.84
  6. Step 6: Final answer
    x = 8,964.90

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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.