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Finding the Fourth Proportional to 7,627.84, 11,420.19 and 4,847.61

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Solution

The fourth proportional to 7,627.84, 11,420.19 and 4,847.61 is: 7,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.84 : 11,420.19 = 4,847.61 : x
  2. Step 2: Convert to fraction form
    7,627.84/11,420.19 = 4,847.61/x
  3. Step 3: Cross multiply
    7,627.84x = 11,420.19 × 4,847.61
  4. Step 4: Simplify right side
    7,627.84x = 55,360,670.07
  5. Step 5: Solve for x
    x = 55,360,670.07/7,627.84
  6. Step 6: Final answer
    x = 7,257.71

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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.