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Finding the Fourth Proportional to 7,415.82, 10,229.78 and 4,763.62

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Solution

The fourth proportional to 7,415.82, 10,229.78 and 4,763.62 is: 6,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.82 : 10,229.78 = 4,763.62 : x
  2. Step 2: Convert to fraction form
    7,415.82/10,229.78 = 4,763.62/x
  3. Step 3: Cross multiply
    7,415.82x = 10,229.78 × 4,763.62
  4. Step 4: Simplify right side
    7,415.82x = 48,730,784.60
  5. Step 5: Solve for x
    x = 48,730,784.60/7,415.82
  6. Step 6: Final answer
    x = 6,571.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.