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Finding the Fourth Proportional to 7,908, 11,862.02 and 2,714.28

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Solution

The fourth proportional to 7,908, 11,862.02 and 2,714.28 is: 4,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,908 : 11,862.02 = 2,714.28 : x
  2. Step 2: Convert to fraction form
    7,908/11,862.02 = 2,714.28/x
  3. Step 3: Cross multiply
    7,908x = 11,862.02 × 2,714.28
  4. Step 4: Simplify right side
    7,908x = 32,196,843.65
  5. Step 5: Solve for x
    x = 32,196,843.65/7,908
  6. Step 6: Final answer
    x = 4,071.43

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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.