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Finding the Fourth Proportional to 7,287.75, 10,931.67 and 2,093.67

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Solution

The fourth proportional to 7,287.75, 10,931.67 and 2,093.67 is: 3,140.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.75 : 10,931.67 = 2,093.67 : x
  2. Step 2: Convert to fraction form
    7,287.75/10,931.67 = 2,093.67/x
  3. Step 3: Cross multiply
    7,287.75x = 10,931.67 × 2,093.67
  4. Step 4: Simplify right side
    7,287.75x = 22,887,309.53
  5. Step 5: Solve for x
    x = 22,887,309.53/7,287.75
  6. Step 6: Final answer
    x = 3,140.52

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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.