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Finding the Fourth Proportional to 7,452.34, 11,176 and 3,008.86

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Solution

The fourth proportional to 7,452.34, 11,176 and 3,008.86 is: 4,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.34 : 11,176 = 3,008.86 : x
  2. Step 2: Convert to fraction form
    7,452.34/11,176 = 3,008.86/x
  3. Step 3: Cross multiply
    7,452.34x = 11,176 × 3,008.86
  4. Step 4: Simplify right side
    7,452.34x = 33,627,019.36
  5. Step 5: Solve for x
    x = 33,627,019.36/7,452.34
  6. Step 6: Final answer
    x = 4,512.28

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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.