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Finding the Fourth Proportional to 7,912.71, 11,873.13 and 3,533.04

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Solution

The fourth proportional to 7,912.71, 11,873.13 and 3,533.04 is: 5,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.71 : 11,873.13 = 3,533.04 : x
  2. Step 2: Convert to fraction form
    7,912.71/11,873.13 = 3,533.04/x
  3. Step 3: Cross multiply
    7,912.71x = 11,873.13 × 3,533.04
  4. Step 4: Simplify right side
    7,912.71x = 41,948,243.22
  5. Step 5: Solve for x
    x = 41,948,243.22/7,912.71
  6. Step 6: Final answer
    x = 5,301.38

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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.