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Finding the Fourth Proportional to 10,857.47, 16,286.16 and 3,066.26

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Solution

The fourth proportional to 10,857.47, 16,286.16 and 3,066.26 is: 4,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.47 : 16,286.16 = 3,066.26 : x
  2. Step 2: Convert to fraction form
    10,857.47/16,286.16 = 3,066.26/x
  3. Step 3: Cross multiply
    10,857.47x = 16,286.16 × 3,066.26
  4. Step 4: Simplify right side
    10,857.47x = 49,937,600.96
  5. Step 5: Solve for x
    x = 49,937,600.96/10,857.47
  6. Step 6: Final answer
    x = 4,599.38

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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.