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Finding the Fourth Proportional to 10,249.56, 14,143.68 and 6,057

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Solution

The fourth proportional to 10,249.56, 14,143.68 and 6,057 is: 8,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.56 : 14,143.68 = 6,057 : x
  2. Step 2: Convert to fraction form
    10,249.56/14,143.68 = 6,057/x
  3. Step 3: Cross multiply
    10,249.56x = 14,143.68 × 6,057
  4. Step 4: Simplify right side
    10,249.56x = 85,668,269.76
  5. Step 5: Solve for x
    x = 85,668,269.76/10,249.56
  6. Step 6: Final answer
    x = 8,358.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.