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Finding the Fourth Proportional to 10,474.56, 15,714.36 and 3,078.86

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Solution

The fourth proportional to 10,474.56, 15,714.36 and 3,078.86 is: 4,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.56 : 15,714.36 = 3,078.86 : x
  2. Step 2: Convert to fraction form
    10,474.56/15,714.36 = 3,078.86/x
  3. Step 3: Cross multiply
    10,474.56x = 15,714.36 × 3,078.86
  4. Step 4: Simplify right side
    10,474.56x = 48,382,235.86
  5. Step 5: Solve for x
    x = 48,382,235.86/10,474.56
  6. Step 6: Final answer
    x = 4,619.02

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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.