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Finding the Fourth Proportional to 7,180.71, 10,771.03 and 2,254.47

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Solution

The fourth proportional to 7,180.71, 10,771.03 and 2,254.47 is: 3,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.71 : 10,771.03 = 2,254.47 : x
  2. Step 2: Convert to fraction form
    7,180.71/10,771.03 = 2,254.47/x
  3. Step 3: Cross multiply
    7,180.71x = 10,771.03 × 2,254.47
  4. Step 4: Simplify right side
    7,180.71x = 24,282,964.00
  5. Step 5: Solve for x
    x = 24,282,964.00/7,180.71
  6. Step 6: Final answer
    x = 3,381.69

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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.