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Finding the Fourth Proportional to 10,640.10, 15,958.94 and 4,066.14

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Solution

The fourth proportional to 10,640.10, 15,958.94 and 4,066.14 is: 6,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.10 : 15,958.94 = 4,066.14 : x
  2. Step 2: Convert to fraction form
    10,640.10/15,958.94 = 4,066.14/x
  3. Step 3: Cross multiply
    10,640.10x = 15,958.94 × 4,066.14
  4. Step 4: Simplify right side
    10,640.10x = 64,891,284.29
  5. Step 5: Solve for x
    x = 64,891,284.29/10,640.10
  6. Step 6: Final answer
    x = 6,098.75

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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.