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Finding the Fourth Proportional to 12,606.12, 17,396.20 and 7,893

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Solution

The fourth proportional to 12,606.12, 17,396.20 and 7,893 is: 10,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.12 : 17,396.20 = 7,893 : x
  2. Step 2: Convert to fraction form
    12,606.12/17,396.20 = 7,893/x
  3. Step 3: Cross multiply
    12,606.12x = 17,396.20 × 7,893
  4. Step 4: Simplify right side
    12,606.12x = 137,308,206.60
  5. Step 5: Solve for x
    x = 137,308,206.60/12,606.12
  6. Step 6: Final answer
    x = 10,892.19

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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.