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Finding the Fourth Proportional to 7,656.26, 11,473.68 and 4,138.70

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Solution

The fourth proportional to 7,656.26, 11,473.68 and 4,138.70 is: 6,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.26 : 11,473.68 = 4,138.70 : x
  2. Step 2: Convert to fraction form
    7,656.26/11,473.68 = 4,138.70/x
  3. Step 3: Cross multiply
    7,656.26x = 11,473.68 × 4,138.70
  4. Step 4: Simplify right side
    7,656.26x = 47,486,077.57
  5. Step 5: Solve for x
    x = 47,486,077.57/7,656.26
  6. Step 6: Final answer
    x = 6,202.26

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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.