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Finding the Fourth Proportional to 10,414.04, 15,620.86 and 3,018.20

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Solution

The fourth proportional to 10,414.04, 15,620.86 and 3,018.20 is: 4,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.04 : 15,620.86 = 3,018.20 : x
  2. Step 2: Convert to fraction form
    10,414.04/15,620.86 = 3,018.20/x
  3. Step 3: Cross multiply
    10,414.04x = 15,620.86 × 3,018.20
  4. Step 4: Simplify right side
    10,414.04x = 47,146,879.65
  5. Step 5: Solve for x
    x = 47,146,879.65/10,414.04
  6. Step 6: Final answer
    x = 4,527.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.