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Finding the Fourth Proportional to 10,052.70, 15,078.96 and 2,556.28

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Solution

The fourth proportional to 10,052.70, 15,078.96 and 2,556.28 is: 3,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.70 : 15,078.96 = 2,556.28 : x
  2. Step 2: Convert to fraction form
    10,052.70/15,078.96 = 2,556.28/x
  3. Step 3: Cross multiply
    10,052.70x = 15,078.96 × 2,556.28
  4. Step 4: Simplify right side
    10,052.70x = 38,545,968.31
  5. Step 5: Solve for x
    x = 38,545,968.31/10,052.70
  6. Step 6: Final answer
    x = 3,834.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.