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Finding the Fourth Proportional to 10,451, 14,422.38 and 5,735.58

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Solution

The fourth proportional to 10,451, 14,422.38 and 5,735.58 is: 7,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451 : 14,422.38 = 5,735.58 : x
  2. Step 2: Convert to fraction form
    10,451/14,422.38 = 5,735.58/x
  3. Step 3: Cross multiply
    10,451x = 14,422.38 × 5,735.58
  4. Step 4: Simplify right side
    10,451x = 82,720,714.28
  5. Step 5: Solve for x
    x = 82,720,714.28/10,451
  6. Step 6: Final answer
    x = 7,915.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.