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Finding the Fourth Proportional to 10,493.28, 14,486.08 and 8,097.87

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Solution

The fourth proportional to 10,493.28, 14,486.08 and 8,097.87 is: 11,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.28 : 14,486.08 = 8,097.87 : x
  2. Step 2: Convert to fraction form
    10,493.28/14,486.08 = 8,097.87/x
  3. Step 3: Cross multiply
    10,493.28x = 14,486.08 × 8,097.87
  4. Step 4: Simplify right side
    10,493.28x = 117,306,372.40
  5. Step 5: Solve for x
    x = 117,306,372.40/10,493.28
  6. Step 6: Final answer
    x = 11,179.19

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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.