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Finding the Fourth Proportional to 10,162.44, 14,023.98 and 5,686.20

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Solution

The fourth proportional to 10,162.44, 14,023.98 and 5,686.20 is: 7,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.44 : 14,023.98 = 5,686.20 : x
  2. Step 2: Convert to fraction form
    10,162.44/14,023.98 = 5,686.20/x
  3. Step 3: Cross multiply
    10,162.44x = 14,023.98 × 5,686.20
  4. Step 4: Simplify right side
    10,162.44x = 79,743,155.08
  5. Step 5: Solve for x
    x = 79,743,155.08/10,162.44
  6. Step 6: Final answer
    x = 7,846.85

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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.