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Finding the Fourth Proportional to 15,287.30, 22,933.09 and 4,758.09

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Solution

The fourth proportional to 15,287.30, 22,933.09 and 4,758.09 is: 7,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.30 : 22,933.09 = 4,758.09 : x
  2. Step 2: Convert to fraction form
    15,287.30/22,933.09 = 4,758.09/x
  3. Step 3: Cross multiply
    15,287.30x = 22,933.09 × 4,758.09
  4. Step 4: Simplify right side
    15,287.30x = 109,117,735.07
  5. Step 5: Solve for x
    x = 109,117,735.07/15,287.30
  6. Step 6: Final answer
    x = 7,137.80

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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.