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Finding the Fourth Proportional to 7,728.62, 11,592.45 and 4,767.62

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Solution

The fourth proportional to 7,728.62, 11,592.45 and 4,767.62 is: 7,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.62 : 11,592.45 = 4,767.62 : x
  2. Step 2: Convert to fraction form
    7,728.62/11,592.45 = 4,767.62/x
  3. Step 3: Cross multiply
    7,728.62x = 11,592.45 × 4,767.62
  4. Step 4: Simplify right side
    7,728.62x = 55,268,425.45
  5. Step 5: Solve for x
    x = 55,268,425.45/7,728.62
  6. Step 6: Final answer
    x = 7,151.14

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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.