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Finding the Fourth Proportional to 7,682.97, 11,520.35 and 2,417.01

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Solution

The fourth proportional to 7,682.97, 11,520.35 and 2,417.01 is: 3,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.97 : 11,520.35 = 2,417.01 : x
  2. Step 2: Convert to fraction form
    7,682.97/11,520.35 = 2,417.01/x
  3. Step 3: Cross multiply
    7,682.97x = 11,520.35 × 2,417.01
  4. Step 4: Simplify right side
    7,682.97x = 27,844,801.15
  5. Step 5: Solve for x
    x = 27,844,801.15/7,682.97
  6. Step 6: Final answer
    x = 3,624.22

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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.