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Finding the Fourth Proportional to 10,474.32, 15,714.18 and 3,079.02

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Solution

The fourth proportional to 10,474.32, 15,714.18 and 3,079.02 is: 4,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.32 : 15,714.18 = 3,079.02 : x
  2. Step 2: Convert to fraction form
    10,474.32/15,714.18 = 3,079.02/x
  3. Step 3: Cross multiply
    10,474.32x = 15,714.18 × 3,079.02
  4. Step 4: Simplify right side
    10,474.32x = 48,384,274.50
  5. Step 5: Solve for x
    x = 48,384,274.50/10,474.32
  6. Step 6: Final answer
    x = 4,619.32

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Why These Related Problems?

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