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Finding the Fourth Proportional to 7,682.49, 11,523.88 and 2,417.40

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Solution

The fourth proportional to 7,682.49, 11,523.88 and 2,417.40 is: 3,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.49 : 11,523.88 = 2,417.40 : x
  2. Step 2: Convert to fraction form
    7,682.49/11,523.88 = 2,417.40/x
  3. Step 3: Cross multiply
    7,682.49x = 11,523.88 × 2,417.40
  4. Step 4: Simplify right side
    7,682.49x = 27,857,827.51
  5. Step 5: Solve for x
    x = 27,857,827.51/7,682.49
  6. Step 6: Final answer
    x = 3,626.15

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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.