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Finding the Fourth Proportional to 11,057.43, 16,547.20 and 6,899.40

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Solution

The fourth proportional to 11,057.43, 16,547.20 and 6,899.40 is: 10,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057.43 : 16,547.20 = 6,899.40 : x
  2. Step 2: Convert to fraction form
    11,057.43/16,547.20 = 6,899.40/x
  3. Step 3: Cross multiply
    11,057.43x = 16,547.20 × 6,899.40
  4. Step 4: Simplify right side
    11,057.43x = 114,165,734.43
  5. Step 5: Solve for x
    x = 114,165,734.43/11,057.43
  6. Step 6: Final answer
    x = 10,324.79

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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.