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Finding the Fourth Proportional to 7,470.53, 11,203.11 and 2,471.99

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Solution

The fourth proportional to 7,470.53, 11,203.11 and 2,471.99 is: 3,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.53 : 11,203.11 = 2,471.99 : x
  2. Step 2: Convert to fraction form
    7,470.53/11,203.11 = 2,471.99/x
  3. Step 3: Cross multiply
    7,470.53x = 11,203.11 × 2,471.99
  4. Step 4: Simplify right side
    7,470.53x = 27,693,919.87
  5. Step 5: Solve for x
    x = 27,693,919.87/7,470.53
  6. Step 6: Final answer
    x = 3,707.09

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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.