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Finding the Fourth Proportional to 7,626.90, 11,425.47 and 6,801.30

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Solution

The fourth proportional to 7,626.90, 11,425.47 and 6,801.30 is: 10,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.90 : 11,425.47 = 6,801.30 : x
  2. Step 2: Convert to fraction form
    7,626.90/11,425.47 = 6,801.30/x
  3. Step 3: Cross multiply
    7,626.90x = 11,425.47 × 6,801.30
  4. Step 4: Simplify right side
    7,626.90x = 77,708,049.11
  5. Step 5: Solve for x
    x = 77,708,049.11/7,626.90
  6. Step 6: Final answer
    x = 10,188.68

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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.