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Finding the Fourth Proportional to 11,899.89, 16,414.40 and 7,656.48

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Solution

The fourth proportional to 11,899.89, 16,414.40 and 7,656.48 is: 10,561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.89 : 16,414.40 = 7,656.48 : x
  2. Step 2: Convert to fraction form
    11,899.89/16,414.40 = 7,656.48/x
  3. Step 3: Cross multiply
    11,899.89x = 16,414.40 × 7,656.48
  4. Step 4: Simplify right side
    11,899.89x = 125,676,487.03
  5. Step 5: Solve for x
    x = 125,676,487.03/11,899.89
  6. Step 6: Final answer
    x = 10,561.15

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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.