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Finding the Fourth Proportional to 10,366.83, 14,306.15 and 5,651.15

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Solution

The fourth proportional to 10,366.83, 14,306.15 and 5,651.15 is: 7,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.83 : 14,306.15 = 5,651.15 : x
  2. Step 2: Convert to fraction form
    10,366.83/14,306.15 = 5,651.15/x
  3. Step 3: Cross multiply
    10,366.83x = 14,306.15 × 5,651.15
  4. Step 4: Simplify right side
    10,366.83x = 80,846,142.17
  5. Step 5: Solve for x
    x = 80,846,142.17/10,366.83
  6. Step 6: Final answer
    x = 7,798.54

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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.