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Finding the Fourth Proportional to 11,159.75, 15,400.46 and 6,191.75

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Solution

The fourth proportional to 11,159.75, 15,400.46 and 6,191.75 is: 8,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.75 : 15,400.46 = 6,191.75 : x
  2. Step 2: Convert to fraction form
    11,159.75/15,400.46 = 6,191.75/x
  3. Step 3: Cross multiply
    11,159.75x = 15,400.46 × 6,191.75
  4. Step 4: Simplify right side
    11,159.75x = 95,355,798.21
  5. Step 5: Solve for x
    x = 95,355,798.21/11,159.75
  6. Step 6: Final answer
    x = 8,544.62

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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.