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Finding the Fourth Proportional to 7,011.88, 9,676.26 and 3,825.04

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Solution

The fourth proportional to 7,011.88, 9,676.26 and 3,825.04 is: 5,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.88 : 9,676.26 = 3,825.04 : x
  2. Step 2: Convert to fraction form
    7,011.88/9,676.26 = 3,825.04/x
  3. Step 3: Cross multiply
    7,011.88x = 9,676.26 × 3,825.04
  4. Step 4: Simplify right side
    7,011.88x = 37,012,081.55
  5. Step 5: Solve for x
    x = 37,012,081.55/7,011.88
  6. Step 6: Final answer
    x = 5,278.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.