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Finding the Fourth Proportional to 10,869.40, 16,268.10 and 7,899.40

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Solution

The fourth proportional to 10,869.40, 16,268.10 and 7,899.40 is: 11,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.40 : 16,268.10 = 7,899.40 : x
  2. Step 2: Convert to fraction form
    10,869.40/16,268.10 = 7,899.40/x
  3. Step 3: Cross multiply
    10,869.40x = 16,268.10 × 7,899.40
  4. Step 4: Simplify right side
    10,869.40x = 128,508,229.14
  5. Step 5: Solve for x
    x = 128,508,229.14/10,869.40
  6. Step 6: Final answer
    x = 11,822.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.