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Finding the Fourth Proportional to 11,847.54, 17,767.21 and 6,590.54

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Solution

The fourth proportional to 11,847.54, 17,767.21 and 6,590.54 is: 9,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.54 : 17,767.21 = 6,590.54 : x
  2. Step 2: Convert to fraction form
    11,847.54/17,767.21 = 6,590.54/x
  3. Step 3: Cross multiply
    11,847.54x = 17,767.21 × 6,590.54
  4. Step 4: Simplify right side
    11,847.54x = 117,095,536.14
  5. Step 5: Solve for x
    x = 117,095,536.14/11,847.54
  6. Step 6: Final answer
    x = 9,883.53

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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.