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Finding the Fourth Proportional to 10,246.10, 15,383.55 and 8,057.30

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Solution

The fourth proportional to 10,246.10, 15,383.55 and 8,057.30 is: 12,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.10 : 15,383.55 = 8,057.30 : x
  2. Step 2: Convert to fraction form
    10,246.10/15,383.55 = 8,057.30/x
  3. Step 3: Cross multiply
    10,246.10x = 15,383.55 × 8,057.30
  4. Step 4: Simplify right side
    10,246.10x = 123,949,877.42
  5. Step 5: Solve for x
    x = 123,949,877.42/10,246.10
  6. Step 6: Final answer
    x = 12,097.27

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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.