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Finding the Fourth Proportional to 7,116.84, 10,676.12 and 3,825.40

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Solution

The fourth proportional to 7,116.84, 10,676.12 and 3,825.40 is: 5,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.84 : 10,676.12 = 3,825.40 : x
  2. Step 2: Convert to fraction form
    7,116.84/10,676.12 = 3,825.40/x
  3. Step 3: Cross multiply
    7,116.84x = 10,676.12 × 3,825.40
  4. Step 4: Simplify right side
    7,116.84x = 40,840,429.45
  5. Step 5: Solve for x
    x = 40,840,429.45/7,116.84
  6. Step 6: Final answer
    x = 5,738.56

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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.