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Finding the Fourth Proportional to 7,096.64, 10,645.04 and 2,714.32

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Solution

The fourth proportional to 7,096.64, 10,645.04 and 2,714.32 is: 4,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.64 : 10,645.04 = 2,714.32 : x
  2. Step 2: Convert to fraction form
    7,096.64/10,645.04 = 2,714.32/x
  3. Step 3: Cross multiply
    7,096.64x = 10,645.04 × 2,714.32
  4. Step 4: Simplify right side
    7,096.64x = 28,894,044.97
  5. Step 5: Solve for x
    x = 28,894,044.97/7,096.64
  6. Step 6: Final answer
    x = 4,071.51

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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.