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Finding the Fourth Proportional to 8,425.13, 11,626.64 and 4,648.53

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Solution

The fourth proportional to 8,425.13, 11,626.64 and 4,648.53 is: 6,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.13 : 11,626.64 = 4,648.53 : x
  2. Step 2: Convert to fraction form
    8,425.13/11,626.64 = 4,648.53/x
  3. Step 3: Cross multiply
    8,425.13x = 11,626.64 × 4,648.53
  4. Step 4: Simplify right side
    8,425.13x = 54,046,761.60
  5. Step 5: Solve for x
    x = 54,046,761.60/8,425.13
  6. Step 6: Final answer
    x = 6,414.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.