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Finding the Fourth Proportional to 7,656.33, 11,473.80 and 4,138.75

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Solution

The fourth proportional to 7,656.33, 11,473.80 and 4,138.75 is: 6,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.33 : 11,473.80 = 4,138.75 : x
  2. Step 2: Convert to fraction form
    7,656.33/11,473.80 = 4,138.75/x
  3. Step 3: Cross multiply
    7,656.33x = 11,473.80 × 4,138.75
  4. Step 4: Simplify right side
    7,656.33x = 47,487,189.75
  5. Step 5: Solve for x
    x = 47,487,189.75/7,656.33
  6. Step 6: Final answer
    x = 6,202.34

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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.