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Finding the Fourth Proportional to 10,018.84, 13,813.40 and 6,427.44

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Solution

The fourth proportional to 10,018.84, 13,813.40 and 6,427.44 is: 8,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.84 : 13,813.40 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    10,018.84/13,813.40 = 6,427.44/x
  3. Step 3: Cross multiply
    10,018.84x = 13,813.40 × 6,427.44
  4. Step 4: Simplify right side
    10,018.84x = 88,784,799.70
  5. Step 5: Solve for x
    x = 88,784,799.70/10,018.84
  6. Step 6: Final answer
    x = 8,861.78

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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.