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Finding the Fourth Proportional to 10,366.13, 14,305.34 and 5,650.71

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Solution

The fourth proportional to 10,366.13, 14,305.34 and 5,650.71 is: 7,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.13 : 14,305.34 = 5,650.71 : x
  2. Step 2: Convert to fraction form
    10,366.13/14,305.34 = 5,650.71/x
  3. Step 3: Cross multiply
    10,366.13x = 14,305.34 × 5,650.71
  4. Step 4: Simplify right side
    10,366.13x = 80,835,299.54
  5. Step 5: Solve for x
    x = 80,835,299.54/10,366.13
  6. Step 6: Final answer
    x = 7,798.02

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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.