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Finding the Fourth Proportional to 8,346.62, 11,518.34 and 5,202.82

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Solution

The fourth proportional to 8,346.62, 11,518.34 and 5,202.82 is: 7,179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.62 : 11,518.34 = 5,202.82 : x
  2. Step 2: Convert to fraction form
    8,346.62/11,518.34 = 5,202.82/x
  3. Step 3: Cross multiply
    8,346.62x = 11,518.34 × 5,202.82
  4. Step 4: Simplify right side
    8,346.62x = 59,927,849.72
  5. Step 5: Solve for x
    x = 59,927,849.72/8,346.62
  6. Step 6: Final answer
    x = 7,179.89

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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.