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Finding the Fourth Proportional to 7,293.81, 10,940.65 and 3,131.12

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Solution

The fourth proportional to 7,293.81, 10,940.65 and 3,131.12 is: 4,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.81 : 10,940.65 = 3,131.12 : x
  2. Step 2: Convert to fraction form
    7,293.81/10,940.65 = 3,131.12/x
  3. Step 3: Cross multiply
    7,293.81x = 10,940.65 × 3,131.12
  4. Step 4: Simplify right side
    7,293.81x = 34,256,417.67
  5. Step 5: Solve for x
    x = 34,256,417.67/7,293.81
  6. Step 6: Final answer
    x = 4,696.64

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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.