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Finding the Fourth Proportional to 7,569, 11,358.60 and 2,638.62

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Solution

The fourth proportional to 7,569, 11,358.60 and 2,638.62 is: 3,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 11,358.60 = 2,638.62 : x
  2. Step 2: Convert to fraction form
    7,569/11,358.60 = 2,638.62/x
  3. Step 3: Cross multiply
    7,569x = 11,358.60 × 2,638.62
  4. Step 4: Simplify right side
    7,569x = 29,971,029.13
  5. Step 5: Solve for x
    x = 29,971,029.13/7,569
  6. Step 6: Final answer
    x = 3,959.71

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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.