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Finding the Fourth Proportional to 10,367.16, 14,306.78 and 5,651.54

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Solution

The fourth proportional to 10,367.16, 14,306.78 and 5,651.54 is: 7,799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.16 : 14,306.78 = 5,651.54 : x
  2. Step 2: Convert to fraction form
    10,367.16/14,306.78 = 5,651.54/x
  3. Step 3: Cross multiply
    10,367.16x = 14,306.78 × 5,651.54
  4. Step 4: Simplify right side
    10,367.16x = 80,855,303.90
  5. Step 5: Solve for x
    x = 80,855,303.90/10,367.16
  6. Step 6: Final answer
    x = 7,799.18

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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.