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Finding the Fourth Proportional to 7,640.40, 11,460.60 and 4,359.90

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Solution

The fourth proportional to 7,640.40, 11,460.60 and 4,359.90 is: 6,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.40 : 11,460.60 = 4,359.90 : x
  2. Step 2: Convert to fraction form
    7,640.40/11,460.60 = 4,359.90/x
  3. Step 3: Cross multiply
    7,640.40x = 11,460.60 × 4,359.90
  4. Step 4: Simplify right side
    7,640.40x = 49,967,069.94
  5. Step 5: Solve for x
    x = 49,967,069.94/7,640.40
  6. Step 6: Final answer
    x = 6,539.85

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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.