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Finding the Fourth Proportional to 7,180.59, 10,771.50 and 1,986.47

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Solution

The fourth proportional to 7,180.59, 10,771.50 and 1,986.47 is: 2,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.59 : 10,771.50 = 1,986.47 : x
  2. Step 2: Convert to fraction form
    7,180.59/10,771.50 = 1,986.47/x
  3. Step 3: Cross multiply
    7,180.59x = 10,771.50 × 1,986.47
  4. Step 4: Simplify right side
    7,180.59x = 21,397,261.61
  5. Step 5: Solve for x
    x = 21,397,261.61/7,180.59
  6. Step 6: Final answer
    x = 2,979.88

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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.