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Finding the Fourth Proportional to 7,684.62, 11,522.04 and 4,723.68

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Solution

The fourth proportional to 7,684.62, 11,522.04 and 4,723.68 is: 7,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.62 : 11,522.04 = 4,723.68 : x
  2. Step 2: Convert to fraction form
    7,684.62/11,522.04 = 4,723.68/x
  3. Step 3: Cross multiply
    7,684.62x = 11,522.04 × 4,723.68
  4. Step 4: Simplify right side
    7,684.62x = 54,426,429.91
  5. Step 5: Solve for x
    x = 54,426,429.91/7,684.62
  6. Step 6: Final answer
    x = 7,082.51

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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.