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Finding the Fourth Proportional to 7,096.62, 10,644.93 and 2,714.52

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Solution

The fourth proportional to 7,096.62, 10,644.93 and 2,714.52 is: 4,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.62 : 10,644.93 = 2,714.52 : x
  2. Step 2: Convert to fraction form
    7,096.62/10,644.93 = 2,714.52/x
  3. Step 3: Cross multiply
    7,096.62x = 10,644.93 × 2,714.52
  4. Step 4: Simplify right side
    7,096.62x = 28,895,875.38
  5. Step 5: Solve for x
    x = 28,895,875.38/7,096.62
  6. Step 6: Final answer
    x = 4,071.78

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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.