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Finding the Fourth Proportional to 10,366.56, 14,305.68 and 5,650.56

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Solution

The fourth proportional to 10,366.56, 14,305.68 and 5,650.56 is: 7,797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.56 : 14,305.68 = 5,650.56 : x
  2. Step 2: Convert to fraction form
    10,366.56/14,305.68 = 5,650.56/x
  3. Step 3: Cross multiply
    10,366.56x = 14,305.68 × 5,650.56
  4. Step 4: Simplify right side
    10,366.56x = 80,835,103.18
  5. Step 5: Solve for x
    x = 80,835,103.18/10,366.56
  6. Step 6: Final answer
    x = 7,797.68

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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.