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Finding the Fourth Proportional to 7,615.14, 11,414.88 and 3,458.04

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Solution

The fourth proportional to 7,615.14, 11,414.88 and 3,458.04 is: 5,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.14 : 11,414.88 = 3,458.04 : x
  2. Step 2: Convert to fraction form
    7,615.14/11,414.88 = 3,458.04/x
  3. Step 3: Cross multiply
    7,615.14x = 11,414.88 × 3,458.04
  4. Step 4: Simplify right side
    7,615.14x = 39,473,111.64
  5. Step 5: Solve for x
    x = 39,473,111.64/7,615.14
  6. Step 6: Final answer
    x = 5,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.