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Finding the Fourth Proportional to 15,262.34, 22,893.89 and 4,874.09

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Solution

The fourth proportional to 15,262.34, 22,893.89 and 4,874.09 is: 7,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,262.34 : 22,893.89 = 4,874.09 : x
  2. Step 2: Convert to fraction form
    15,262.34/22,893.89 = 4,874.09/x
  3. Step 3: Cross multiply
    15,262.34x = 22,893.89 × 4,874.09
  4. Step 4: Simplify right side
    15,262.34x = 111,586,741.47
  5. Step 5: Solve for x
    x = 111,586,741.47/15,262.34
  6. Step 6: Final answer
    x = 7,311.25

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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.