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Finding the Fourth Proportional to 7,640.28, 11,460.90 and 2,445.78

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Solution

The fourth proportional to 7,640.28, 11,460.90 and 2,445.78 is: 3,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.28 : 11,460.90 = 2,445.78 : x
  2. Step 2: Convert to fraction form
    7,640.28/11,460.90 = 2,445.78/x
  3. Step 3: Cross multiply
    7,640.28x = 11,460.90 × 2,445.78
  4. Step 4: Simplify right side
    7,640.28x = 28,030,840.00
  5. Step 5: Solve for x
    x = 28,030,840.00/7,640.28
  6. Step 6: Final answer
    x = 3,668.82

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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.