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Finding the Fourth Proportional to 7,057.54, 10,575.36 and 2,894.04

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Solution

The fourth proportional to 7,057.54, 10,575.36 and 2,894.04 is: 4,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.54 : 10,575.36 = 2,894.04 : x
  2. Step 2: Convert to fraction form
    7,057.54/10,575.36 = 2,894.04/x
  3. Step 3: Cross multiply
    7,057.54x = 10,575.36 × 2,894.04
  4. Step 4: Simplify right side
    7,057.54x = 30,605,514.85
  5. Step 5: Solve for x
    x = 30,605,514.85/7,057.54
  6. Step 6: Final answer
    x = 4,336.57

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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.