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Finding the Fourth Proportional to 11,566.50, 17,356.92 and 5,327.40

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Solution

The fourth proportional to 11,566.50, 17,356.92 and 5,327.40 is: 7,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.50 : 17,356.92 = 5,327.40 : x
  2. Step 2: Convert to fraction form
    11,566.50/17,356.92 = 5,327.40/x
  3. Step 3: Cross multiply
    11,566.50x = 17,356.92 × 5,327.40
  4. Step 4: Simplify right side
    11,566.50x = 92,467,176.74
  5. Step 5: Solve for x
    x = 92,467,176.74/11,566.50
  6. Step 6: Final answer
    x = 7,994.40

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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.