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Finding the Fourth Proportional to 7,131.20, 10,696.80 and 3,182.45

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Solution

The fourth proportional to 7,131.20, 10,696.80 and 3,182.45 is: 4,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.20 : 10,696.80 = 3,182.45 : x
  2. Step 2: Convert to fraction form
    7,131.20/10,696.80 = 3,182.45/x
  3. Step 3: Cross multiply
    7,131.20x = 10,696.80 × 3,182.45
  4. Step 4: Simplify right side
    7,131.20x = 34,042,031.16
  5. Step 5: Solve for x
    x = 34,042,031.16/7,131.20
  6. Step 6: Final answer
    x = 4,773.68

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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.