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Finding the Fourth Proportional to 7,287.56, 10,931.82 and 2,093.48

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Solution

The fourth proportional to 7,287.56, 10,931.82 and 2,093.48 is: 3,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.56 : 10,931.82 = 2,093.48 : x
  2. Step 2: Convert to fraction form
    7,287.56/10,931.82 = 2,093.48/x
  3. Step 3: Cross multiply
    7,287.56x = 10,931.82 × 2,093.48
  4. Step 4: Simplify right side
    7,287.56x = 22,885,546.53
  5. Step 5: Solve for x
    x = 22,885,546.53/7,287.56
  6. Step 6: Final answer
    x = 3,140.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.