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Finding the Fourth Proportional to 7,747.46, 11,592.48 and 4,629.17

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Solution

The fourth proportional to 7,747.46, 11,592.48 and 4,629.17 is: 6,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.46 : 11,592.48 = 4,629.17 : x
  2. Step 2: Convert to fraction form
    7,747.46/11,592.48 = 4,629.17/x
  3. Step 3: Cross multiply
    7,747.46x = 11,592.48 × 4,629.17
  4. Step 4: Simplify right side
    7,747.46x = 53,663,502.68
  5. Step 5: Solve for x
    x = 53,663,502.68/7,747.46
  6. Step 6: Final answer
    x = 6,926.59

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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.